SU\G(𝔸)/K·U
Mathematics › Algebra and Number Theory

Rings, Modules, and Algebras

Works Count: 47325

Description

This cluster of papers focuses on the study of properties and structures of commutative rings, including topics such as zero-divisor graphs, Armendariz rings, idealization, Baer rings, nil-clean rings, annihilator ideals, quasi-Baer rings, factorization theory, triangular matrix representations, and semistar operations.

Keywords

Zero-Divisor Graphs; Armendariz Rings; Idealization; Baer Rings; Nil-Clean Rings; Annihilator Ideals; Quasi-Baer Rings; Factorization Theory; Triangular Matrix Representations; Semistar Operations

Most Cited Works

Action Title Date Authors
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Linear Topological Spaces 1963-01-01 John L. Kelley Isaac Namioka William F. Donoghue Kenneth R. Lucas B. J. Pettis Ebbe Thue Poulsen G. Baley Price Wendy Robertson W. R. Scott Kennan T. Smith
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Finiteness Conditions and Generalized Soluble Groups 1972-01-01 Derek J. S. Robinson
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Rings and Categories of Modules 1974-01-01 Frank W. Anderson Kent R. Fuller
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Seminar on transformation groups 1960-12-01 A. Borel Glen E. Bredon
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Tame Algebras and Integral Quadratic Forms 1984-01-01 Claus Michael Ringel
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Multiplicative ideal theory 1968-01-01 Robert Gilmer
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Finite dimensional algebras and highest weight categories. 1988-11-01 Edward Cline Brian Parshall Leonard L. Scott
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Foundations of Module and Ring Theory 2018-05-11 Wisbauer Robert
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On the ubiquity of Gorenstein rings 1963-01-01 Hyman Bass
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Applications of contravariantly finite subcategories 1991-03-01 Maurice Auslander Idun Reiten
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The Cohomology Structure of an Associative Ring 1963-09-01 Murray Gerstenhaber
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Rings of Continuous Functions 1960-01-01 Leonard Gillman Meyer Jerison
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The Zero-Divisor Graph of a Commutative Ring 1999-07-01 David F. Anderson Philip S. Livingston
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Algebraic approximation of structures over complete local rings 1969-01-01 Michael Artin
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Projective modules over polynomial rings 1976-12-01 Daniel Quillen
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Tilting in abelian categories and quasitilted algebras 1996-01-01 Dieter Happel Idun Reiten O. SmaløSverre
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Coloring of commutative rings 1988-07-01 István Beck
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On axiomatic approaches to vertex operator algebras and modules 1993-01-01 Igor Frenkel Yi-Zhi Huang James Lepowsky
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Finitistic dimension and a homological generalization of semi-primary rings 1960-01-01 Hyman Bass
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Lectures on Rings and Modules. 1969-11-01 Lawrence S. Levy Joachim Lambek
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The diamond lemma for ring theory 1978-02-01 George M. Bergman
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Free subgroups in linear groups 1972-02-01 Jacques Tits
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Prime rings satisfying a generalized polynomial identity 1969-08-01 Wallace S. Martindale
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Stable module theory 1969-01-01 Maurice Auslander Mark Bridger
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Relative Homological Algebra 2011-08-23 Edgar E. Enochs Overtoun M. G. Jenda
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On the Structure of Abstract Algebras 1935-10-01 Garrett Birkhoff
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Introduction To Commutative Algebra 2018-03-09 Michael Atiyah
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The Brauer group of a commutative ring 1960-01-01 Maurice Auslander Oscar Goldman
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Functors of Artin rings 1968-01-01 Michael Schlessinger
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Indecomposable representations of graphs and algebras 1976-01-01 Vlastimil Dlab Claus Michael Ringel
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Derivations in prime rings 1957-12-01 Edward C. Posner
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Free Rings and Their Relations. 1973-05-01 David J. Fieldhouse P. M. Cohn
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Applications of the theory of Boolean rings to general topology 1937-01-01 M. H. Stone
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Prime ideal structure in commutative rings 1969-01-01 M. Hochster
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A first course in noncommutative rings 1992-10-01 Tsit Yuen Lam
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Injective modules over Noetherian rings 1958-09-01 Eben Matlis
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On Algebras Which are Connected with the Semisimple Continuous Groups 1937-10-01 Richard Brauer
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On Ideal Lattices and Learning with Errors over Rings 2010-01-01 Vadim Lyubashevsky Chris Peikert Oded Regev
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Lifting idempotents and exchange rings 1977-01-01 W. K. Nicholson
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Arithmetic Subgroups of Algebraic Groups 1962-05-01 Armand Borel Harish-chandra Harish-Chandra
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Rings of Continuous Functions. 1961-05-01 E. R. Lorch Leonard Gillman Meyer Jerison
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On Rings of Operators 1936-01-01 F. J. Murray J. v. Neumann
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Rings of Quotients 1975-01-01 Bo Stenström
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Tomita's Theory of Modular Hilbert Algebras and its Applications 1970-01-01 Masamichi Takesaki
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Positive Functions on C ∗ -Algebras 1955-04-01 W. Forrest Stinespring
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A First Course in Noncommutative Rings 2001-01-01 T. Y. Lam
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Rings and Categories of Modules 1992-01-01 Frank W. Anderson Kent R. Fuller
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Cohomologie non abélienne 1971-01-01 Jean Giraud
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Separable Algebras Over Commutative Rings 1971-01-01 Frank DeMeyer Edward Ingraham
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Homotopy Limits, Completions and Localizations 1972-01-01 A. K. Bousfield Daniel M. Kan

Most Recent Works

Action Title Date Authors
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Nondegenerate module categories 2025-05-02 Chelsea Walton Harshit Yadav
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Quasi-Ideals and \(\mathcal{H}\)-Classes on the Direct Product of Two Semigroups 2025-05-01 Panuwat Luangchaisri Ontima Pankoon Thawhat Changphas
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Specific Identities Involving Prime Ideals with Generalized $P$-derivations 2025-05-01 Radwan M. Al-omary Ali Yahya Hummdi Zakia Z. Al-Amery
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Upper and Lower Contra-$(\tau_1,\tau_2)$-continuity 2025-05-01 Nongluk Viriyapong Areeyuth Sama-Ae Chawalit Boonpok
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Soft Subalgebras and Ideals of Sheffer Stroke Hilbert Algebras based on $\mathcal{N}$-Structures 2025-05-01 Tahsin Öner Neelamegarajan Rajesh Aiyared Iampan Arsham Borumand Saeid
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Bounds on the Energy of Zero-divisor Graph of Quotient Ring and Its Topological Indices 2025-05-01 Vira Hari Krisnawati Noor Hidayat Ayunda Faizatul Musyarrofah
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Proximity Prestige of a Vertex in Some Graph Families 2025-05-01 Lysandra A. Toladro Isagani S. Cabahug
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NJ-Abelian Rings: an Abelian-Like Approach 2025-05-01 Muhammad Saad S. M. Abdelwahab
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Stability of Hyper 3-Homomorphisms and Hyper 3-Derivations in Ternary Algebras 2025-05-01 Eun Hwa Shim Siriluk Donganont Choonkil Park
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Upper and Lower Almost Contra-$(\tau_1,\tau_2)$-continuity 2025-05-01 Jeeranunt Khampakdee Areeyuth Sama-Ae Chawalit Boonpok
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Investigating Length and Mean-Fuzzy Subalgebras in Sheffer Stroke Hilbert Algebras 2025-05-01 Neelamegarajan Rajesh Tahsin Öner Aiyared Iampan Akbar Rezaei
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$\mathfrak{M}-$homomorphisms of Almost Distributive Lattices 2025-05-01 N. Rafi Ravikumar Bandaru Thiti Gaketem
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Characterizations of Nonadditive Mappings in Prime $*$-Rings Involving Bi-Skew Products 2025-05-01 Moin A. Ansari Abbas Hussain Shikeh Junaid Nisar Shahid Tamboli
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On generalized $(\alpha, \ast)$-derivations and $\alpha$-centralizers on Rings 2025-05-01 Faiza Shujat Sayer Obaid Alharbi
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A Note on $k$-Ideals in Ternary Semirings 2025-05-01 Arbaz Jehan Khan Ronnason Chinram Montakarn Petapirak
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Some properties of compressed zero-divisor graph 2025-05-02 A. S. Monastyreva
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Lower bounds on Loewy lengths of modules of finite projective dimension 2025-05-02 Nawaj KC Josh Pollitz
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General theory of localizations of rings and modules 2025-05-01 V. V. Bavula
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Semibrick‐cosilting correspondence 2025-05-02 Ramin Ebrahimi Alireza Nasr‐Isfahani
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On graded going-down domains, II 2025-05-02 Parviz Sahandi N. Shirmohammadi
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REMARKS ON PRIME IDEALS AND REDUCED RINGS 2025-05-02 Tae-Hee Lee Zhelin Piao Shengbin Wu
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Lattice properties of the sharp partial order 2025-05-04 Cecilia Cimadamore Laura A. Rueda Néstor Thome Marco Verdecchia
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Lower and Upper Acyclicities on Unitary Cayley Graphs of Finite Commutative Rings 2025-05-02 Denpong Pongpipat Nuttawoot Nupo
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On Pseudo $BN$-algebras 2025-05-02 Irene Mae Y. Antabo Lyster Rey Cabardo Susan Dagondon Jocelyn P. Vilela
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Properties Of Bipolar Valued Vague Normal Ideals 2025-05-01 K. Anitha
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On pure ideals in semilattices 2025-05-03 Nilesh Mundlik Mayur Kshirsagar
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Distributivity in lattices of torsion classes over finite-dimensional algebras 2025-05-05 Yongle Luo Jiaqun Wei
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Graded divided ideals in a graded integral domain 2025-05-05 Nassima Guennach Najib Mahdou Ünsal Teki̇̀r Suat Koç
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Equivariant algebraic properties of monomial ideals under the Inci(ℕ) operator 2025-05-05 Mughees Ghayas Imran Anwar
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On the motivic description of truncated fundamental group rings 2025-05-03 Eduard Looijenga
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SOME PROPERTIES OF COFINITELY $$\oplus -g-$$SUPPLEMENTED MODULES 2025-05-05 Celıl Nebıyev Hasan Hüseyın Ökten
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Abelian quotients in groupoids 2025-05-06 Hee Sik Kim Sun Shin Ahn Choonkil Park
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A homological characterization of <i>w</i> -faithfully flat modules 2025-05-06 Shiqi Xing
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Introduction to Rings 2025-05-06 William Paulsen
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The Structure within Rings 2025-05-06 William Paulsen
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The irrationality of an infinite series involving ω(n) under a prime tuples conjecture 2025-05-01 Kyle Pratt
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On the uniqueness of maximal solvable extensions of nilpotent Leibniz superalgebras 2025-05-01 B. A. Omirov G.O. Solijanova
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Ideal Extensions of Free Commutative Monoids 2025-05-06 Carmelo Cisto Pedro A. García-Sánchez D. Llena
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On $w$-universal injective modules and their applications in commutative rings 2025-05-05 Dechuan Zhou Hwankoo Kim Wei Zhao Keyun Hu
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A proper subclass of nonsingular rings 2025-05-07 Hamid Reza Moradi Shervin Sahebi Mohammad Habibi
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Rings in which Every Element is A Sum of a Nilpotent And Three 5-Potents 2025-05-01 Xinsong Yang Yanyuan Wang
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Z*-SMALL SUBMODULES AND Z*-HOLLOW MODULES 2025-05-01 Hiba R. Baanoon
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On 2-absorbing ideals of generalized power series rings 2025-05-07 Kamal Paykan Mohammad Habibi
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Centralizers with automorphisms of triangular algebras 2025-05-08 Xinfeng Liang Minghao Wang Mengya Zhang
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Generalized derivations with center-like subsets in prime rings 2025-05-07 Ahmed Aboubakr
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A Method for Describing the Maximal Ideal in Universal Affine Vertex Algebras at Non-Admissible Levels 2025-05-08 Dražen Adamović Ozren Perše Ivana Vukorepa
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Ordinal sums of triangular norms on a bounded trellis 2025-05-01 Jun Geng Ziwen Chen Rina Wang
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Correspondence Between Torsion and Annihilator Graph of Modules Zn Over Commutative Rings 2025-05-09 Ari Andari Dwi Mifta Mahanani Dedy Zulkharnain Purnamaadi
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A generalization of the dimension and radius of a subcategory of modules and its applications 2025-05-09 Yuki Mifune
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Semicentral idempotents of upper triangular matrix ring 2025-05-09 Dimitrinka Vladeva