+
|
Connections between baer annihilator conditions and extending conditions for nearrings and rings
|
2024
|
Gary F. Birkenmeier
Nayil Kılıç
Figen Takıl Mutlu
Edanur Taştan
Adnan Tercan
Ramazan YAŞAR
|
+
PDF
Chat
|
Nilary group rings and algebras
|
2023
|
Omar A. Al-Mallah
Gary F. Birkenmeier
HAFEDH ALNOGASHI
|
+
|
Primitive and prime rings with s.Baer or related modules
|
2022
|
Gary F. Birkenmeier
Yeliz Kara
Adnan Tercan
|
+
|
Baer and quasi-Baer annihilator conditions for nearrings and rings
|
2022
|
Gary F. Birkenmeier
Nayil Kılıç
Figen Takıl Mutlu
Edanur Taştan
Adnan Tercan
Ramazan YAŞAR
|
+
|
Corrigendum: Quasi-s.Baer and related modules
|
2022
|
Gary F. Birkenmeier
Yeliz Kara
Adnan Tercan
|
+
|
Quasi-s.Baer and related modules
|
2020
|
Gary F. Birkenmeier
Yeliz Kara
Adnan Tercan
|
+
PDF
Chat
|
SPECIAL RADICALS FOR NEAR-RING
|
2020
|
Gary F. Birkenmeier
Henry E. Heatherly
Enoch K. S. Lee
|
+
|
Peirce decompositions, idempotents and rings
|
2020
|
Phạm Ngọc Ánh
Gary F. Birkenmeier
Leon van Wyk
|
+
|
π-Rickart rings
|
2020
|
Gary F. Birkenmeier
Yeliz Kara
Adnan Tercan
|
+
|
A partial order on subsets of Baer bimodules with applications to C∗-modules
|
2020
|
Gary F. Birkenmeier
Yeliz Kara
|
+
|
<i>π</i>-endo Baer modules
|
2019
|
Gary F. Birkenmeier
Yeliz Kara
Adnan Tercan
|
+
|
A classification of indecomposable Quasi-Frobenius rings I
|
2019
|
Gary F. Birkenmeier
Omar A. Al-Mallah
|
+
|
FI-extending hulls of Abelian groups
|
2019
|
Gary F. Birkenmeier
Richard L. LeBlanc
|
+
|
Annihilators and extensions of idempotent-generated ideals
|
2019
|
Gary F. Birkenmeier
Blaise J. Heider
|
+
|
A Survey of Rings Satisfying Annihilator or Extending Conditions on Projection Invariant Ideals
|
2019
|
Gary F. Birkenmeier
Yeliz Kara
Adnan Tercan
|
+
|
FI-extending generalized matrix rings
|
2018
|
Gary F. Birkenmeier
Donald D. Davis
|
+
|
A survey of intrinsic extensions of rings
|
2018
|
Gary F. Birkenmeier
Enoch Lee
|
+
|
Corrigendum to: When is a sum of annihilator ideals an annihilator ideal?
|
2017
|
Gary F. Birkenmeier
M. Ghirati
A. Ghorbani
A. Naghdi
Ali Taherifar
|
+
|
Corrigendum and addendum to “Right primary and nilary rings and ideals” [J. Algebra 378 (2013) 133–152]
|
2017
|
Gary F. Birkenmeier
Jin Yong Kim
Jae Keol Park
|
+
|
π-Baer rings
|
2017
|
Gary F. Birkenmeier
Yeliz Kara
Adnan Tercan
|
+
|
Peirce decompositions, idempotents and rings
|
2017
|
Phạm Ngọc Ánh
Gary F. Birkenmeier
Leon van Wyk
|
+
|
Trivial generalized matrix rings
|
2016
|
Gary F. Birkenmeier
Blaise Heider
|
+
PDF
Chat
|
Module Decompositions Using Pairwise Comaximal Ideals
|
2016
|
Gary F. Birkenmeier
Chris Ryan
|
+
|
Quasi-Baer and biregular generalized matrix rings
|
2016
|
Gary F. Birkenmeier
Donald D. Davis
|
+
PDF
Chat
|
Idempotents and structures of rings
|
2016
|
Phạm Ngọc Ánh
Gary F. Birkenmeier
Leon van Wyk
|
+
|
Module decompositions using pairwise comaximal ideals
|
2015
|
Gary F. Birkenmeier
Chris Ryan
|
+
|
Projection invariant extending rings
|
2015
|
Gary F. Birkenmeier
Adnan Tercan
Canan C. Yücel
|
+
|
Essential extensions with the -extending property
|
2015
|
Gary F. Birkenmeier
Adnan Tercan
Canan C. Yücel
|
+
|
When is a Sum of Annihilator Ideals an Annihilator Ideal?
|
2015
|
Gary F. Birkenmeier
M. Ghirati
Ali Taherifar
|
+
|
Module decompositions using pairwise comaximal ideals
|
2015
|
Gary F. Birkenmeier
C. Edward Ryan
|
+
PDF
Chat
|
s.Baer and s.Rickart Modules
|
2014
|
Gary F. Birkenmeier
Richard L. LeBlanc
|
+
|
Extending Sets of Idempotents to Ring Extensions
|
2014
|
Gary F. Birkenmeier
M. J. J. Lennon
|
+
|
The Extending Condition Relative to Sets of Submodules
|
2013
|
Gary F. Birkenmeier
Adnan Tercan
Canan C. Yücel
|
+
|
Corrigendum To: Goldie Extending Modules
|
2013
|
Evrim Akalan
Gary F. Birkenmeier
Adnan Tercan
|
+
|
Right primary and nilary rings and ideals
|
2013
|
Gary F. Birkenmeier
Jin Yong Kim
Jae Keol Park
|
+
|
Matrix, Polynomial, and Group Ring Extensions
|
2013
|
Gary F. Birkenmeier
Jae Keol Park
S. Tariq Rizvi
|
+
|
Hulls of Ring Extensions
|
2013
|
Gary F. Birkenmeier
Jae Keol Park
S. Tariq Rizvi
|
+
|
Triangular Matrix Representations and Triangular Matrix Extensions
|
2013
|
Gary F. Birkenmeier
Jae Keol Park
S. Tariq Rizvi
|
+
|
Preliminaries and Basic Results
|
2013
|
Gary F. Birkenmeier
Jae Keol Park
S. Tariq Rizvi
|
+
|
Baer, Rickart, and Quasi-Baer Rings
|
2013
|
Gary F. Birkenmeier
Jae Keol Park
S. Tariq Rizvi
|
+
|
Baer, Quasi-Baer Modules, and Their Applications
|
2013
|
Gary F. Birkenmeier
Jae Keol Park
S. Tariq Rizvi
|
+
|
Applications to Rings of Quotients and C∗-Algebras
|
2013
|
Gary F. Birkenmeier
Jae Keol Park
S. Tariq Rizvi
|
+
|
Extensions of Rings and Modules
|
2013
|
Gary F. Birkenmeier
Jae Keol Park
S. Tariq Rizvi
|
+
|
Open Problems and Questions
|
2013
|
Gary F. Birkenmeier
Jae Keol Park
S. Tariq Rizvi
|
+
|
Essential Overring Extensions-Beyond the Maximal Ring of Quotients
|
2013
|
Gary F. Birkenmeier
Jae Keol Park
S. Tariq Rizvi
|
+
|
Injectivity and Some of Its Generalizations
|
2013
|
Gary F. Birkenmeier
Jae Keol Park
S. Tariq Rizvi
|
+
PDF
Chat
|
GOLDIE*-SUPPLEMENTED MODULES – CORRIGENDUM
|
2012
|
Gary F. Birkenmeier
Figen Takıl Mutlu
Celıl Nebıyev
Nurhan Sökmez
Adnan Tercan
|
+
|
Characterizations of Extending and 𝒢-Extending Generalized Triangular Matrix Rings
|
2012
|
Evrim Akalan
Gary F. Birkenmeier
Adnan Tercan
|
+
|
Goldie Extending Rings
|
2012
|
Evrim Akalan
Gary F. Birkenmeier
Adnan Tercan
|
+
|
A CHARACTERIZATION OF GOLDIE EXTENDING MODULES OVER DEDEKIND DOMAINS
|
2011
|
Evrim Akalan
Gary F. Birkenmeier
Adnan Tercan
|
+
|
THE FACTOR RING OF A QUASI-BAER RING BY ITS PRIME RADICAL
|
2011
|
Gary F. Birkenmeier
Jin Yong Kim
Jae Keol Park
|
+
PDF
Chat
|
Corrigendum to: Goldie Extending Modules
|
2010
|
Evrim Akalan
Gary F. Birkenmeier
Adnan Tercan
|
+
PDF
Chat
|
Hulls of Ring Extensions
|
2010
|
Gary F. Birkenmeier
Jae Keol Park
S. Tariq Rizvi
|
+
PDF
Chat
|
GOLDIE-SUPPLEMENTED MODULES
|
2010
|
Gary F. Birkenmeier
Figen Takıl Mutlu
Celıl Nebıyev
Nurhan Sökmez
Adnan Tercan
|
+
|
Corrigendum to “Ideal intrinsic extensions with connections to PI-rings” [J. Pure Appl. Algebra 213 (2009) 1756–1776]
|
2010
|
Efraim P. Armendariz
Gary F. Birkenmeier
Jae Keol Park
|
+
|
A Theory of Hulls for Rings and Modules
|
2010
|
Gary F. Birkenmeier
Jae Keol Park
S. Tariq Rizvi
Gary F. Birkenmeier
|
+
|
Ring and Module Theory
|
2010
|
Toma Albu
Gary F. Birkenmeier
Ali Erdoğgan
Adnan Tercan
|
+
|
Principally Quasi-Baer Ring Hulls
|
2010
|
Gary F. Birkenmeier
Jae Keol Park
S. Tariq Rizvi
|
+
|
Hulls of semiprime rings with applications to <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mi>C</mml:mi><mml:mo>∗</mml:mo></mml:msup></mml:math>-algebras
|
2009
|
Gary F. Birkenmeier
Jae Keol Park
S. Tariq Rizvi
|
+
PDF
Chat
|
MODULES WITH FI-EXTENDING HULLS
|
2009
|
Gary F. Birkenmeier
Jae Keol Park
S. Tariq Rizvi
|
+
|
The structure of rings of quotients
|
2009
|
Gary F. Birkenmeier
Jae Keol Park
S. Tariq Rizvi
|
+
|
Goldie Extending Modules
|
2009
|
Evrim Akalan
Gary F. Birkenmeier
Adnan Tercan
|
+
|
Ideal intrinsic extensions with connections to PI-rings
|
2009
|
Efraim P. Armendariz
Gary F. Birkenmeier
Jae Keol Park
|
+
PDF
Chat
|
An example of Osofsky and essential overrings
|
2009
|
Gary F. Birkenmeier
Jae Keol Park
S. Tariq Rizvi
|
+
|
Injective hulls with distinct ring structures
|
2008
|
Gary F. Birkenmeier
Barbara L. Osofsky
Jae Keol Park
S. Tariq Rizvi
|
+
|
Ring Hulls of Semiprime Homomorphic Images
|
2008
|
Gary F. Birkenmeier
Jae Keol Park
S. Tariq Rizvi
|
+
|
On Triangulating Dimension of Rings
|
2008
|
Gary F. Birkenmeier
Jae Keol Park
S. Tariq Rizvi
|
+
|
An Essential Extension with Nonisomorphic Ring Structures II
|
2007
|
Gary F. Birkenmeier
Jae Keol Park
S. Tariq Rizvi
|
+
|
When Some Complement of a Submodule Is a Summand
|
2007
|
Gary F. Birkenmeier
Adnan Tercan
|
+
|
When is the SIP (SSP) property inherited by free modules
|
2006
|
Gary F. Birkenmeier
Fatih Karabacak
Adnan Tercan
|
+
|
Extending the Property of a Maximal Right Ideal
|
2006
|
Gary F. Birkenmeier
Dinh Van Huynh
Jin Yong Kim
Jae Keol Park
|
+
|
An essential extension with nonisomorphic ring structures
|
2006
|
Gary F. Birkenmeier
Jae Keol Park
S. Tariq Rizvi
|
+
|
Radicals whose semisimple classes satisfy a generalised ADS condition
|
2004
|
Gary F. Birkenmeier
G. L. Booth
N. J. Groenewald
|
+
|
Annihilator Conditions on Polynomials II
|
2003
|
Gary F. Birkenmeier
Feng–Kuo Huang
|
+
|
Triangular matrix representations of ring extensions
|
2003
|
Gary F. Birkenmeier
Jae Keol Park
|
+
PDF
Chat
|
Generalized Triangular Matrix Rings and the Fully Invariant Extending Property
|
2002
|
Gary F. Birkenmeier
Jae Keol Park
S. Tariq Rizvi
|
+
|
Near-ring extensions with a common ideal
|
2002
|
Gary F. Birkenmeier
Mark Farag
Henry E. Heatherly
|
+
|
TRIANGULAR MATRIX REPRESENTATIONS OF SEMIPRIMARY RINGS
|
2002
|
Gary F. Birkenmeier
Jin Yong Kim
Jae Keol Park
|
+
|
MODULES WITH FULLY INVARIANT SUBMODULES ESSENTIAL IN FULLY INVARIANT SUMMANDS
|
2002
|
Gary F. Birkenmeier
Jae Keol Park
S. Tariq Rizvi
|
+
|
RINGS CONTAINING IDEALS WITH BOUNDED INDEX
|
2002
|
Efraim P. Armendariz
Gary F. Birkenmeier
Jae Keol Park
|
+
|
None
|
2002
|
Gary F. Birkenmeier
Henry E. Heatherly
Jin Yong Kim
Jae Keol Park
|
+
|
None
|
2002
|
Gary F. Birkenmeier
J. Y. Kim
J. K. Park
|
+
|
Modules in Which Every Fully Invariant Submodule is Essential in a Direct Summand
|
2002
|
Gary F. Birkenmeier
Bruno J. Müller
S. Tariq Rizvi
|
+
|
None
|
2002
|
Gary F. Birkenmeier
R. Wiegandt
|
+
|
Rings, Modules, Algebras
|
2002
|
Robert Gilmer
Joachim von zur Gathen
David F. Anderson
M. Fontana
Ira J. Papick
T. Y. Lam
Jürgen Herzog
A. A. Tuganbaev
Jie-Tai Yu
Paul-Jean Cahen
|
+
|
MODULES IN WHICH EVERY FULLY INVARIANT SUBMODULE IS ESSENTIAL IN A DIRECT SUMMAND
|
2002
|
Gary F. Birkenmeier
Bruno J. Müller
S. Tariq Rizvi
|
+
|
SUBDIRECTLY IRREDUCIBLE LEFT SELF DISTRIBUTIVELY GENERATED ALGEBRAS
|
2001
|
Gary F. Birkenmeier
Henry E. Heatherly
John A. Lewallen
|
+
|
LATTICES OF RADICALS OF NEAR-RINGS
|
2001
|
Gary F. Birkenmeier
G. L. Booth
N. J. Groenewald
|
+
|
Polynomial extensions of Baer and quasi-Baer rings
|
2001
|
Gary F. Birkenmeier
Jin Yong Kim
Jae Keol Park
|
+
|
ANNIHILATOR CONDITIONS ON POLYNOMIALS
|
2001
|
Gary F. Birkenmeier
Feng–Kuo Huang
|
+
|
PRINCIPALLY QUASI-BAER RINGS
|
2001
|
Gary F. Birkenmeier
Jin Yong Kim
Jae Keol Park
|
+
PDF
Chat
|
THE FULLY INVARIANT EXTENDING PROPERTY FOR ABELIAN GROUPS
|
2001
|
Gary F. Birkenmeier
Girgore Călugăreanu
L. Fuchs
H. Pat Goeters
|
+
|
Semicentral Reduced Algebras
|
2001
|
Gary F. Birkenmeier
Jin Yong Kim
Jae Keol Park
|
+
|
Left Self-Distributive Rings and Nearrings
|
2001
|
Gary F. Birkenmeier
|
+
|
ON CLASS PAIRS AND RADICALS
|
2001
|
Gary F. Birkenmeier
N. J. Groenewald
W. A. Olivier
|
+
|
International Symposium on Ring Theory
|
2001
|
Gary F. Birkenmeier
Jae Keol Park
Young Soo Park
|
+
|
Triangular Matrix Representations
|
2000
|
Gary F. Birkenmeier
Henry E. Heatherly
Jin Yong Kim
Jae Keol Park
|
+
PDF
Chat
|
A COUNTEREXAMPLE FOR CS-RINGS
|
2000
|
Gary F. Birkenmeier
Jin Yong Kim
Jae Keol Park
|
+
|
A sheaf representation of quasi-Baer rings
|
2000
|
Gary F. Birkenmeier
Jin Yong Kim
Jae Keol Park
|
+
PDF
Chat
|
Quasi-Baer ring extensions and biregrular rings
|
2000
|
Gary F. Birkenmeier
Jin Yong Kim
Jae Keol Park
|
+
|
On Polynomial Extensions of Principally Quasi-Baer Ring
|
2000
|
Gary F. Birkenmeier
김진용
박재철
|
+
|
Self-adjoint ideals in baer *-rings
|
2000
|
Gary F. Birkenmeier
Jae Keol Park
|
+
|
Left self distributively generated algebras
|
2000
|
Gary F. Birkenmeier
Henry E. Heatherly
|
+
|
Rings with countably many direct summands
|
2000
|
Gary F. Birkenmeier
Jin Yong Kim
Jae Keol Park
|
+
|
On quasi-Baer rings
|
2000
|
Gary F. Birkenmeier
Jin Yong Kim
Jae Keol Park
|
+
|
ESSENTIAL COVERS OF RADICAL CLASSES
|
1999
|
Gary F. Birkenmeier
|
+
|
When is the cs condition hereditary?
|
1999
|
Gary F. Birkenmeier
Jin Yong Kim
Jee Keol Park
|
+
|
Polynomial extensions of Baer rings and their generalizations
|
1999
|
Gary F. Birkenmeier
Feng Kuo Huang
Jin Yong Kim
Jae Keol Park
|
+
PDF
Chat
|
A characterization of minimal prime ideals
|
1998
|
Gary F. Birkenmeier
Jin Yong Kim
Jae Keol Park
|
+
|
Pseudocomplements in the lattice of torsion classes
|
1998
|
Gary F. Birkenmeier
R. Wiegandt
|
+
|
Regularity conditions and the simplicity of prime factor rings
|
1997
|
Gary F. Birkenmeier
Jin Yong Kim
Jae Keol Park
|
+
|
Homomorphisms on groups I: Distributive and D. G. near–rings
|
1997
|
Gary F. Birkenmeier
Henry E. Heatherly
Günter Pilz
|
+
|
Splitting Theorems and a Problem of Müller
|
1997
|
Gary F. Birkenmeier
Jin Yong Kim
Jae Keol Park
|
+
|
Near-Rings and Rings Generated by Homomorphisms on Groups
|
1997
|
Gary F. Birkenmeier
Henry E. Heatherly
Günter Pilz
|
+
|
Right complement bounded semiprime rings
|
1996
|
Hamed E. Abulkheir
Gary F. Birkenmeier
|
+
|
Prime Ideals in Right Complement Bounded Rings
|
1996
|
Hamed E. Abulkheir
Gary F. Birkenmeier
|
+
|
An andrunakievich lemma for near-rings
|
1995
|
Gary F. Birkenmeier
Henry E. Heatherly
E. K. S. Lee
|
+
|
Completely Prime Ideals and Radicals in Near-Rings
|
1995
|
Gary F. Birkenmeier
Henry E. Heatherly
E. Lee
|
+
|
Essential Nilpotency in Near-Rings
|
1995
|
Gary F. Birkenmeier
|
+
|
Prime ideals and prime radicals in near-rings
|
1994
|
Gary F. Birkenmeier
Henry E. Heatherly
Enoch Lee
|
+
PDF
Chat
|
A Connection Between Weak Regularity and the Simplicity of Prime Factor Rings
|
1994
|
Gary F. Birkenmeier
Jin Yong Kim
Jae Keol Park
|
+
|
Radicals whose essential covers are semisimple classes
|
1994
|
Gary F. Birkenmeier
|
+
PDF
Chat
|
A connection between weak regularity and the simplicity of prime factor rings
|
1994
|
Gary F. Birkenmeier
Jin-Yong Kim
Jae Keol Park
|
+
|
Prime Ideals in Near-Rings
|
1993
|
Gary F. Birkenmeier
Henry E. Heatherly
Enoch Lee
|
+
PDF
Chat
|
Is a Semidirect Product of Groups Necessarily a Group?
|
1993
|
Gary F. Birkenmeier
C. Brad Davis
Kevin J. Reeves
Sihai Xiao
|
+
PDF
Chat
|
Minimal ideals in near-rings and localized distributivity conditions
|
1993
|
Gary F. Birkenmeier
Henry E. Heatherly
|
+
PDF
Chat
|
Is a semidirect product of groups necessarily a group?
|
1993
|
Gary F. Birkenmeier
C. Brad Davis
Kevin J. Reeves
Sihai Xiao
|
+
|
Decompositions of Baer-like rings
|
1992
|
Gary F. Birkenmeier
|
+
|
Rings with left self distributive multiplication
|
1992
|
Gary F. Birkenmeier
Henry E. Heatherly
Tomáš Kepka
|
+
|
Minimal ideals in near-rings
|
1992
|
Gary F. Birkenmeier
Hentry Heatherly
|
+
|
Permutation identity near-rings and ?localized? distributivity conditions
|
1991
|
Gary F. Birkenmeier
Henry E. Heatherly
|
+
|
Localization with central units
|
1991
|
Hamed E. Abulkheir
Gary F. Birkenmeier
Anthony K. Bourque
Enoch K. Lee
|
+
|
Corrigenda localization with central units
|
1991
|
Hamed E. Abulkheir
Gary F. Birkenmeier
Anthony K. Bourque
Enoch K. Lee
|
+
PDF
Chat
|
Rings whose additive endomorphisms are ring endomorphisms
|
1990
|
Gary F. Birkenmeier
Henry E. Heatherly
|
+
|
Medial and distributively generated near-rings
|
1990
|
Gary F. Birkenmeier
Henry E. Heatherly
|
+
|
Permutation identity rings and the medial radical
|
1990
|
Gary F. Birkenmeier
Henry E. Heatherly
|
+
|
Split-null extensions of strongly right bounded rings
|
1990
|
Gary F. Birkenmeier
|
+
PDF
Chat
|
Split-null extensions of strongly right bounded rings
|
1990
|
Gary F. Birkenmeier
|
+
PDF
Chat
|
A Decomposition of Rings Generated by Faithful Cyclic Modules
|
1989
|
Gary F. Birkenmeier
|
+
|
Medial near-rings
|
1989
|
Gary F. Birkenmeier
Henry E. Heatherly
|
+
|
Reduced right ideals which are strongly essential in direct summands
|
1989
|
Gary F. Birkenmeier
|
+
|
A generalization of FPF rings
|
1989
|
Gary F. Birkenmeier
|
+
|
Embeddings of strongly right bounded rings and algebras
|
1989
|
Gary F. Birkenmeier
Henry E. Heatherly
|
+
PDF
Chat
|
Quasi-projective modules and the finite exchange property
|
1989
|
Gary F. Birkenmeier
|
+
|
Homomorphic images and the singular ideal of a strongly right bounded ring
|
1988
|
Gary F. Birkenmeier
Ralph P. Tucci
|
+
PDF
Chat
|
Quotient Rings of Rings Generated by Faithful Cyclic Modules
|
1987
|
Gary F. Birkenmeier
|
+
PDF
Chat
|
Quotient rings of rings generated by faithful cyclic modules
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1987
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Gary F. Birkenmeier
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Right ideals in a right distributive groupoid
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1986
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Gary F. Birkenmeier
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PDF
Chat
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Baer rings and quasicontinuous rings have a MDSN
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1981
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Gary F. Birkenmeier
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Indecomposable decompositions and the minimal direct summand containing the nilpotents
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1979
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Gary F. Birkenmeier
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PDF
Chat
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Indecomposable Decompositions and the Minimal Direct Summand Containing the Nilpotents
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1979
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Gary F. Birkenmeier
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Modules which are subisomorphic to injective modules
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1978
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Gary F. Birkenmeier
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Does Every Right Ideal of a Matrix Ring Contain a Nilpotent Element?
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1977
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Gary F. Birkenmeier
Ralph P. Tucci
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Does Every Right Ideal of a Matrix Ring Contain a Nilpotent Element?
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1977
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Gary F. Birkenmeier
R. P. Tucci
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Self-injective rings and the minimal direct summand containing the nilpotents
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1976
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Gary F. Birkenmeier
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On the cancellation of quasi-injective modules
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1976
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Gary F. Birkenmeier
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