Pace P. Nielsen

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All published works

Action	Title	Year	Authors
+ PDF Chat	Euclidean domains with no multiplicative norms	2025	Caleb J. Dastrup Pace P. Nielsen
+ PDF Chat	Levels of cancellation for monoids and modules	2024	Pere Ara K. R. Goodearl Pace P. Nielsen K.C. O’Meara Enrique Pardo Francesc Perera
+ PDF Chat	The separativity problem in terms of varieties and diagonal reduction	2024	Pere Ara K. R. Goodearl Pace P. Nielsen Enrique Pardo Francesc Perera
+	Maximally-fine rings	2023	Pace P. Nielsen Yiqiang Zhou
+	Small sets without unique products in torsion-free groups	2023	Pace P. Nielsen Lindsay Soelberg
+	Idempotent chains and bounded generation of SL2	2023	Dinesh Khurana Xavier Mary Pace P. Nielsen
+	Periodic elements and lifting connections	2023	Dinesh Khurana Pace P. Nielsen
+	When nilpotent elements generate nilpotent ideals	2023	Pace P. Nielsen Steve Szabo
+	Nilpotent polynomials and nilpotent coefficients	2022	T. Draper Pace P. Nielsen Janez Šter
+	Prime factors of $Φ_3(x)$ of the same form	2022	Cody S. Hansen Pace P. Nielsen
+	Trigonometric inequalities and the Riemann zeta-function	2022	Pace P. Nielsen
+	Odd, spoof perfect factorizations	2021	Nickolas Andersen Spencer H. Durham Michael Griffin Jonathan Hales Paul A. Jenkins Ryan Keck Hankun Ko Grant Molnar Eric Moss Pace P. Nielsen
+	Perspectivity and von Neumann regularity	2021	Dinesh Khurana Pace P. Nielsen
+	IC rings and transitivity of perspectivity	2021	Xavier Mary Pace P. Nielsen
+	Transitivity of Perspectivity	2021	Dinesh Khurana Pace P. Nielsen
+	Zero-divisor placement, a condition of Camillo, and the McCoy property	2020	Jongwook Baeck Nam Kyun Kim Yang Lee Pace P. Nielsen
+ PDF Chat	Covering systems with restricted divisibility	2019	Robert Hough Pace P. Nielsen
+	Special clean elements in rings	2019	Dinesh Khurana T. Y. Lam Pace P. Nielsen Janez Šter
+ PDF Chat	Transfinitely valued Euclidean domains have arbitrary indecomposable order type	2019	Chris J. Conidis Pace P. Nielsen Vandy Tombs
+	Jacobson pairs and Bott-Duffin decompositions in rings	2019	T. Y. Lam Pace P. Nielsen
+ PDF	Homogeneous length functions on groups	2018	T. A. Fritz Siddhartha Gadgil Apoorva Khare Pace P. Nielsen Lior Silberman Terence Tao
+	Symmetries in idempotent factorizations	2018	Anjana Khurana Dinesh Khurana Pace P. Nielsen
+ PDF	Amitsur's property for skew polynomials of derivation type	2017	Chan Yong Hong Nam Kyun Kim Yang Lee Pace P. Nielsen
+ PDF	Amitsur's property for skew polynomials of derivation type	2017	Chan Yong Hong Nam Kyun Kim Yang Lee Pace P. Nielsen
+	Homogeneous nilradicals over semigroup graded rings	2017	Chan Yong Hong Nam Kyun Kim Blake W. Madill Pace P. Nielsen Michał Ziembowski
+	An ensemble of idempotent lifting hypotheses	2017	Dinesh Khurana T. Y. Lam Pace P. Nielsen
+	Transfinitely valued Euclidean domains have arbitrary indecomposable order type	2017	Chris J. Conidis Pace P. Nielsen Vandy Tombs
+	Transfinitely valued Euclidean domains have arbitrary indecomposable order type	2017	Chris J. Conidis Pace P. Nielsen Vandy Tombs
+	Connections between unit-regularity, regularity, cleanness, and strong cleanness of elements and rings	2016	Pace P. Nielsen Janez Šter
+	The behavior of ascending chain conditions on submodules of bounded finite generation in direct sums	2016	Pace P. Nielsen
+	Exchange rings, exchange equations, and lifting properties	2016	Dinesh Khurana T. Y. Lam Pace P. Nielsen
+ PDF Chat	On Vaughan Pratt's crossword problem	2016	George M. Bergman Pace P. Nielsen
+	Connections between unit-regularity, regularity, cleanness, and strong cleanness of elements and rings	2015	Pace P. Nielsen Janez Šter
+	Commuting idempotents, square-free modules, and the exchange property	2015	Ryszard Mazurek Pace P. Nielsen Michał Ziembowski
+	Idempotent lifting and ring extensions	2015	Alexander J. Diesl Samuel J. Dittmer Pace P. Nielsen
+	Half-orthogonal sets of idempotents	2015	Victor Camillo Pace P. Nielsen
+	Two-Sided Properties of Elements in Exchange Rings	2015	Dinesh Khurana T. Y. Lam Pace P. Nielsen
+	Uniquely Clean Elements in Rings	2015	Dinesh Khurana T. Y. Lam Pace P. Nielsen Yiqiang Zhou
+ PDF	Odd perfect numbers, Diophantine equations, and upper bounds	2015	Pace P. Nielsen
+	Exchange elements in rings, and the equation $XA-BX=I$	2015	Dinesh Khurana T. Y. Lam Pace P. Nielsen
+	Derivations and bounded nilpotence index	2015	Pace P. Nielsen Michał Ziembowski
+	Connections between unit-regularity, regularity, cleanness, and strong cleanness of elements and rings	2015	Pace P. Nielsen Janez Šter
+	The upper nilradical and Jacobson radical of semigroup graded rings	2014	Ryszard Mazurek Pace P. Nielsen Michał Ziembowski
+	Radicals in skew polynomial and skew Laurent polynomial rings	2014	Chan Yong Hong Nam Kyun Kim Pace P. Nielsen
+	Jacobson’s Lemma for Drazin Inverses	2014	T. Y. Lam Pace P. Nielsen
+	Sums of units in self-injective rings	2013	Anjana Khurana Dinesh Khurana Pace P. Nielsen
+	Dedekind-Finite Strongly Clean Rings	2013	Victor Camillo Thomas J. Dorsey Pace P. Nielsen
+	Inner inverses and inner annihilators in rings	2013	T. Y. Lam Pace P. Nielsen
+	Simplifying Smoktunowicz's Extraordinary Example	2013	Pace P. Nielsen
+ PDF	ON A QUESTION OF HARTWIG AND LUH	2013	Samuel J. Dittmer Dinesh Khurana Pace P. Nielsen
+	Properties which do not pass to classical rings of quotients	2013	Alexander J. Diesl Chan Yong Hong Nam Kyun Kim Pace P. Nielsen
+	Bootstrapping the bounded nilradical	2013	Pace P. Nielsen
+	On σ-nil ideals of bounded index of σ-nilpotence	2012	Chan Yong Hong Nam Kyun Kim Yang Lee Pace P. Nielsen
+ PDF	Sieve methods for odd perfect numbers	2012	S. Adam Fletcher Pace P. Nielsen Pascal Ochem
+	Nonnegative minors of minor matrices	2011	David A. Cardon Pace P. Nielsen
+	Square-free modules with the exchange property	2010	Pace P. Nielsen
+ PDF	Nilpotent ideals in polynomial and power series rings	2010	Victor Camillo Chan Yong Hong Nam Kyun Kim Yang Lee Pace P. Nielsen
+	On a Theorem of Camps and Dicks	2010	Victor Camillo Pace P. Nielsen
+	The minimal prime spectrum of rings with annihilator conditions	2009	Chan Yong Hong Nam Kyun Kim Yang Lee Pace P. Nielsen
+	A covering system whose smallest modulus is 40	2008	Pace P. Nielsen
+	McCoy rings and zero-divisors	2007	Victor Camillo Pace P. Nielsen
+ PDF	Odd perfect numbers have at least nine distinct prime factors	2007	Pace P. Nielsen
+	Non-self-injective injective hulls with compatible multiplication	2007	Victor Camillo Ivo Herzog Pace P. Nielsen
+	Row and column finite matrices	2007	Pace P. Nielsen
+ PDF Chat	Countable Exchange and Full Exchange Rings	2006	Pace P. Nielsen
+	The Exchange Property for Modules and Rings	2006	Pace P. Nielsen
+	Semi-commutativity and the McCoy condition	2005	Pace P. Nielsen
+	ABELIAN EXCHANGE MODULES	2005	Pace P. Nielsen
+	The Countable and Full Exchange Properties	2004	Pace P. Nielsen
+	The Structure Functions of Very Large E. A. S.	1973	Charles Bell A. D. Bray B. V. Denehy L. Goorevich L. Horton J. G. Loy C. B. A. McCusker Pace P. Nielsen A. Outhred L. S. Peak

Common Coauthors

Coauthor	Papers Together
Dinesh Khurana	13
T. Y. Lam	9
Nam Kyun Kim	9
Chan Yong Hong	8
Yang Lee	6
Victor Camillo	6
Janez Šter	5
Vandy Tombs	4
Michał Ziembowski	4
Chris J. Conidis	3
Pere Ara	2
Enrique Pardo	2
Francesc Perera	2
K. R. Goodearl	2
Yiqiang Zhou	2
Anjana Khurana	2
Xavier Mary	2
Ryszard Mazurek	2
Alexander J. Diesl	2
Samuel J. Dittmer	2
David A. Cardon	1
George M. Bergman	1
A. Outhred	1
M. M. Winn	1
Apoorva Khare	1
Eric Moss	1
Terence Tao	1
S. Adam Fletcher	1
K.C. O’Meara	1
Cody S. Hansen	1
Luc Wilson	1
Charles Bell	1
Jongwook Baeck	1
Spencer H. Durham	1
C. B. A. McCusker	1
Blake W. Madill	1
Lindsay Soelberg	1
J. Ulrichs	1
L. S. Peak	1
T. Draper	1
Dongsheng Wu	1
Ivo Herzog	1
A. D. Bray	1
Paul A. Jenkins	1
Caleb J. Dastrup	1
Steve Szabo	1
Pascal Ochem	1
Siddhartha Gadgil	1
Grant Molnar	1
Michael Griffin	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF	A First Course in Noncommutative Rings	2001	T. Y. Lam	26
+ PDF	A first course in noncommutative rings	1992	Tsit Yuen Lam	19
+ PDF	Lifting idempotents and exchange rings	1977	W. K. Nicholson	17
+ PDF	Exercises in Classical Ring Theory	1995	T. Y. Lam	12
+	Exchange rings and decompositions of modules	1972	Robert B. Warfield	12
+	The diamond lemma for ring theory	1978	George M. Bergman	11
+	Strongly clean rings and fitting's lemma	1999	W. K. Nicholson	10
+	Continuous and Discrete Modules	1990	Saad H. Mohamed Bruno J. Müller	9
+	Von Neumann regular rings	1979	K. R. Goodearl	9
+	Exercises in Classical Ring Theory	2003	T. Y. Lam	8
+	McCoy rings and zero-divisors	2007	Victor Camillo Pace P. Nielsen	7
+ PDF	On (von Neumann) regular rings	1974	R. Yue Chi Ming	7
+	Rings with internal cancellation	2004	Dinesh Khurana T. Y. Lam	7
+	Primeness, semiprimeness and prime radical of ore extensions	1997	T. Y. Lam André Leroy Jerzy Matczuk	6
+	Classes of modules with the exchange property	1984	Birge Zimmermann-Huisgen Wolfgang Zimmermann	6
+	Clean matrices and unit-regular matrices	2004	Dinesh Khurana T. Y. Lam	6
+	Idempotent lifting and ring extensions	2015	Alexander J. Diesl Samuel J. Dittmer Pace P. Nielsen	6
+	A CRASH COURSE ON STABLE RANGE, CANCELLATION, SUBSTITUTION AND EXCHANGE	2004	T. Y. Lam	6
+	Continuous modules are clean	2006	Victor Camillo Dinesh Khurana T. Y. Lam W. K. Nicholson Yukun Zhou	6
+ PDF	On Von Neumann Regular Rings	1974	Kwangil Koh	6
+	Perspective rings	2014	Shelly Garg Harpreet K. Grover Dinesh Khurana	6
+	Exchange rings, units and idempotents	1994	Victor Camillo Hua-Ping Yu	5
+	Free Ideal Rings and Localization in General Rings	2006	P. M. Cohn	5
+	On exchange rings	1997	W. K. Nicholson	5
+ PDF	A NOTE ON NIL AND JACOBSON RADICALS IN GRADED RINGS	2013	Agata Smoktunowicz	5
+	Corner Rings of a Clean Ring Need Not be Clean	2012	Janez Šter	5
+	Perspectivity and cancellation in regular rings	1977	David Handelman	5
+ PDF Chat	Countable Exchange and Full Exchange Rings	2006	Pace P. Nielsen	5
+	Strong lifting	2005	W. K. Nicholson Yukun Zhou	5
+	ABELIAN EXCHANGE MODULES	2005	Pace P. Nielsen	4
+	ARMENDARIZ RINGS AND SEMICOMMUTATIVE RINGS	2002	Chan Huh Yang Lee Agata Smoktunowicz	4
+	EXTENSIONS OF CLEAN RINGS	2001	Juncheol Han W. K. Nicholson	4
+	The exchange property of quasi-continuous modules with the finite exchange property	1996	Kiyoichi Oshiro S. Tariq Rizvi	4
+	Radicals of skew polynomial rings and skew Laurent polynomial rings	2011	Chan Yong Hong Nam Kyun Kim Yang Lee	4
+	Rings of bounded index	1984	Abraham A. Klein	4
+	Exchange elements in rings, and the equation $XA-BX=I$	2015	Dinesh Khurana T. Y. Lam Pace P. Nielsen	4
+	abelian groups, module theory, and topology	2019		4
+ PDF	Lectures on modules and rings	1999		4
+ PDF	On two open problems about strongly clean rings	2004	Wang Zhou Jianlong Chen	4
+	The sum of nil one-sided ideals of bounded index of a ring	1994	Abraham A. Klein	4
+	Half-orthogonal sets of idempotents	2015	Victor Camillo Pace P. Nielsen	4
+ PDF	Separative cancellation for projective modules over exchange rings	1998	Pere Ara K. R. Goodearl K.C. O’Meara Enrique Pardo	4
+ PDF	Strongly 𝜋-regular rings have stable range one	1996	Pere Ara	4
+	A CHARACTERIZATION OF UNIT REGULAR RINGS	2001	Victor Camillo Dinesh Khurana	4
+	Strong lifting splits	2010	Mustafa Alkan W. K. Nicholson A. Çiğdem Özcan	4
+	Bootstrapping the bounded nilradical	2013	Pace P. Nielsen	3
+	The upper nilradical and Jacobson radical of semigroup graded rings	2014	Ryszard Mazurek Pace P. Nielsen Michał Ziembowski	3
+	A polynomial ring that is Jacobson radical and not nil	2001	Agata Smoktunowicz E. R. Puczyłowski	3
+	On σ-nil ideals of bounded index of σ-nilpotence	2012	Chan Yong Hong Nam Kyun Kim Yang Lee Pace P. Nielsen	3
+	Extensions of reversible rings	2003	Nam Kyun Kim Yang Lee	3