Concept

Polynomial ring

OpenAlex ID: C9485509

Cohen-Macaulay Rings

1998 · Winfried Bruns, H. Jürgen Herzog · Cambridge University Press eBooks · 2,691

Polynomial Reconstruction Based Cryptography

2001 · Aggelos Kiayias, Moti Yung · Lecture notes in computer science · 1,361

On Ideal Lattices and Learning with Errors over Rings

2013 · Vadim Lyubashevsky, Chris Peikert, et al. · Journal of the ACM · 840

Lie Group Representations on Polynomial Rings

1963 · Bertram Kostant · American Journal of Mathematics · 838

Prime rings satisfying a generalized polynomial identity

1969 · Wallace S. Martindale · Journal of Algebra · 763

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Gröbner Bases: A Computational Approach to Commutative Algebra

2011 · Thomas Becker, Volker Weispfenning, et al. · UCLA - Biblioteca de Ciencias y Tecnologia Felix Morales Bueno · 752

Worst-case to average-case reductions for module lattices

2014 · Adeline Langlois, Damien Stehlé · Designs Codes and Cryptography · 647

Polynomial Identities in Ring Theory

1980 · Pure and applied mathematics · 640

Projective modules over polynomial rings

1976 · Daniel Quillen · Inventiones mathematicae · 612

Linear free resolutions and minimal multiplicity

1984 · David Eisenbud, Shiro Goto · Journal of Algebra · 460

Gröbner bases and primary decomposition of polynomial ideals

1988 · Patrizia Gianni, Barry Trager, et al. · Journal of Symbolic Computation · 443

Minimal resolutions of some monomial ideals

1990 · Shalom Eliahou, Michel Kervaire · Journal of Algebra · 421

A note on extensions of Baer and P. P. -rings

1974 · Efraim P. Armendariz · Journal of the Australian Mathematical Society · 386

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On the Structure of the Special Linear Group Over Polynomial Rings

1977 · A A Suslin · Mathematics of the USSR-Izvestiya · 353

A characteristic free approach to invariant theory

1976 · C. De Concini, C. Procesi · Advances in Mathematics · 334

On the Ideal Theory of Graphs

1994 · A. Simis, W.V. Vasconcelos, et al. · Journal of Algebra · 310

Polynomial Invariants of Finite Groups

1993 · D. J. Benson · Cambridge University Press eBooks · 303

Fields and rings

1969 · Irving Kaplansky · Medical Entomology and Zoology · 286

A new class of symmetric functions.

1988 · I. G. Macdonald · 285

Constructions in Algebra

1974 · A. Seidenberg · Transactions of the American Mathematical Society · 279

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Resolutions of Stanley-Reisner rings and Alexander duality

1998 · John A Eagon, Victor Reiner · Journal of Pure and Applied Algebra · 278

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Conjectures on the Quotient Ring by Diagonal Invariants

1994 · Mark D. Haiman · Journal of Algebraic Combinatorics · 269

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Comprehensive Gröbner bases

1992 · Volker Weispfenning · Journal of Symbolic Computation · 261

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On the algebraic structure of quasi-cyclic codes .I. Finite fields

2001 · San Ling, P. Sole · IEEE Transactions on Information Theory · 260

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Monomial ideals, edge ideals of hypergraphs, and their graded Betti numbers

2007 · Huy Tài Hà, Adam Van Tuyl · Journal of Algebraic Combinatorics · 252

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Works count: 11,540

Citation count: 89,730