2017, Graduate studies in mathematics, ISBN 9781470437701, Volume 183, xxi, 637 pages

Algebraic geometry -- (Co)homology theory -- Étale and other Grothendieck topologies and (co)homologies | Commutative algebra -- Instructional exposition (textbooks, tutorial papers, etc.) | Commutative algebra -- General commutative ring theory -- Ideals; multiplicative ideal theory | Separable algebras | Algebraic geometry -- Local theory -- Local structure of morphisms: Étale, flat, etc | Commutative algebra -- Ring extensions and related topics -- Galois theory | Associative rings and algebras -- Algebras and orders -- Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) | Commutative algebra -- Ring extensions and related topics -- Étale and flat extensions; Henselization; Artin approximation | Associative rings | Associative rings and algebras -- Instructional exposition (textbooks, tutorial papers, etc.) | Commutative algebra -- Theory of modules and ideals -- Class groups

Book

2017, Algebra and Applications, ISBN 9789811033360, Volume 22, 714

.... Going further, Chapter 6 presents w-modules over commutative rings as they can be most commonly used by torsion theory and multiplicative ideal theory...

Algebra | Commutative Rings and Algebras | Mathematics | Mathematics and Statistics | Category Theory, Homological Algebra

Algebra | Commutative Rings and Algebras | Mathematics | Mathematics and Statistics | Category Theory, Homological Algebra

eBook

2017, ISBN 3319658727, 374

eBook

2020, ISBN 303043415X, 341

eBook

1994, London Mathematical Society lecture note series, ISBN 9780521454841, Volume 195, 329

This book provides an introduction to recent developments in the theory of blow up algebras - Rees algebras, associated graded rings, Hilbert functions, and birational morphisms...

Commutative algebra

Commutative algebra

Book

1999, Mathematical surveys and monographs, ISBN 9780821809938, Volume no. 65., xxxii, 422

Book

Journal of algebra and its applications, ISSN 0219-4988, 12/2017, Volume 16, Issue 12

Let H be a commutative semigroup with unit element such that every non-unit can be written as a finite product of irreducible elements (atoms). For every k is...

direct-sum decomposition | Factorizations | Krull monoids | sets of lengths | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology

direct-sum decomposition | Factorizations | Krull monoids | sets of lengths | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology

Journal Article

2018, ISBN 9783319705651, 753

This book presents state-of-the-art research and survey articles that highlight work done within the Priority Program SPP 1489 "Algorithmic and Experimental Methods in Algebra, Geometry and Number...

Mathematics | Algorithms | Algebraic Geometry | Commutative Rings and Algebras | Group Theory and Generalizations | Number Theory | Mathematics and Statistics | Gröbner bases | Arithmetic geometry | Modular forms | Lattices | Real and complex multiplication | Computational algebraic geometry | Tropical geometry | Computational group theory | Reflection arrangements | Jacobians and abelian varieties | Polyhedral geometry | Rational points | Finite group theory | Associative algebras | Representation theory | Computer algebra

Mathematics | Algorithms | Algebraic Geometry | Commutative Rings and Algebras | Group Theory and Generalizations | Number Theory | Mathematics and Statistics | Gröbner bases | Arithmetic geometry | Modular forms | Lattices | Real and complex multiplication | Computational algebraic geometry | Tropical geometry | Computational group theory | Reflection arrangements | Jacobians and abelian varieties | Polyhedral geometry | Rational points | Finite group theory | Associative algebras | Representation theory | Computer algebra

eBook

Journal of commutative algebra, ISSN 1939-0807, 2017, Volume 9, Issue 2, pp. 303 - 312

.... We prove that A is subintegrally closed in B and M is subintegrally closed in N if and only if the group of invertible A-submodules of B is isomorphic to the group of invertible A[M]-submodules of B[N] Theorem 1.2 (b), (d). In the case M...

Invertible modules | Monoid algebras | Monoid extensions | Physical Sciences | Mathematics | Science & Technology

Invertible modules | Monoid algebras | Monoid extensions | Physical Sciences | Mathematics | Science & Technology

Journal Article

2018, Springer Undergraduate Mathematics Series, ISBN 3319919970, 304

This carefully written textbook provides an accessible introduction to the representation theory of algebras, including representations...

Commutative Rings and Algebras | Associative Rings and Algebras | Mathematics | Group Theory and Generalizations | Mathematics and Statistics | Category Theory, Homological Algebra | Representations of groups | Representations of algebras

Commutative Rings and Algebras | Associative Rings and Algebras | Mathematics | Group Theory and Generalizations | Mathematics and Statistics | Category Theory, Homological Algebra | Representations of groups | Representations of algebras

eBook

2009, ISBN 311020746X, viii, 386

Book

2004, Lecture notes in pure and applied mathematics, ISBN 9780824748074, Volume 236, xx, 497

Book

Algebras and representation theory, ISSN 1386-923X, 10/2019, Volume 22, Issue 5, pp. 1239 - 1260

... Π(C, D). We study tilting modules and support τ-tilting modules for the generalized preprojective algebra Π(C, D...

Locally free modules | Associative Rings and Algebras | Cofinite tilting ideals | Support τ -tilting modules | Non-associative Rings and Algebras | Generalized simple modules | Commutative Rings and Algebras | Symmetrizable Cartan matrix | Mathematics | 16G20 | 16G10 | Preprojective algebras | Support τ-tilting modules

Locally free modules | Associative Rings and Algebras | Cofinite tilting ideals | Support τ -tilting modules | Non-associative Rings and Algebras | Generalized simple modules | Commutative Rings and Algebras | Symmetrizable Cartan matrix | Mathematics | 16G20 | 16G10 | Preprojective algebras | Support τ-tilting modules

Journal Article

2014, Volume 609

Conference Proceeding

2001, Mathematical surveys and monographs, ISBN 9780821819630, Volume no. 84., xvi, 613

Book

1971, Pure and applied mathematics; a series of monographs and textbooks, ISBN 9780124368507, Volume 43., xiv, 298

Book

2012, 1. Aufl., De Gruyter Proceedings in Mathematics, ISBN 9783110278590, 328

... (factorization, ideal theory, integrality), advances from the homological study of noetherian rings...

Commutative algebra

Commutative algebra

eBook

Proceedings of the American Mathematical Society, ISSN 0002-9939, 12/2015, Volume 143, Issue 12, pp. 5113 - 5128

.... We develop the basic theory quite generally, with a view toward future applications to a wide class of graded modules over graded rings...

Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology

Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology

Journal Article

Designs, codes, and cryptography, ISSN 1573-7586, 02/2014, Volume 75, Issue 3, pp. 565 - 599

... hard as their restrictions to special classes of ideal lattices, corresponding to ideals of some polynomial rings...

Information and Communication, Circuits | Worst-case to average-case reductions | 95A60 | Data Encryption | 68Q17 | Mathematics | Data Structures, Cryptology and Information Theory | Lattice-based cryptography | Discrete Mathematics in Computer Science | Coding and Information Theory | Combinatorics | Module lattices | Ideal lattices | Physical Sciences | Technology | Computer Science | Computer Science, Theory & Methods | Mathematics, Applied | Science & Technology | Cryptography | Hardness

Information and Communication, Circuits | Worst-case to average-case reductions | 95A60 | Data Encryption | 68Q17 | Mathematics | Data Structures, Cryptology and Information Theory | Lattice-based cryptography | Discrete Mathematics in Computer Science | Coding and Information Theory | Combinatorics | Module lattices | Ideal lattices | Physical Sciences | Technology | Computer Science | Computer Science, Theory & Methods | Mathematics, Applied | Science & Technology | Cryptography | Hardness

Journal Article

Journal of noncommutative geometry, ISSN 1661-6952, 01/2018, Volume 12, Issue 1, pp. 331 - 368

Continuing our previous work on graded twisting of Hopf algebras and monoidal categories, we introduce a graded twisting construction for equivariant comodule algebras and module categories...

Physical Sciences | Mathematics | Mathematics, Applied | Physics | Physics, Mathematical | Science & Technology

Physical Sciences | Mathematics | Mathematics, Applied | Physics | Physics, Mathematical | Science & Technology

Journal Article

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