Keyword

module theory

Description: A branch of abstract algebra studying modules, which generalize vector spaces by allowing scalars to come from rings rather than fields.

Primary topic: Rings, Modules, and Algebras (79%)

Wikidata ID: wiki/Q114722746

OpenAlex ID: keywords/module-theory

Character theory of finite groups

1999 · Isaacs, I. Martin 1940- · Choice Reviews Online · 2,187

Lectures on Modules and Rings

1999 · T. Y. Lam · Graduate texts in mathematics · 1,803

Rings and Categories of Modules

1992 · Frank W. Anderson, Kent R. Fuller · Graduate texts in mathematics · 1,443

Foundations of Module and Ring Theory

2018 · Wisbauer Robert · Routledge eBooks · 1,059

Lectures on Rings and Modules.

1969 · L. S. Levy, Joachim Lambek · American Mathematical Monthly · 816

Lectures on Rings and Modules

1967 · A. W. Goldie · Journal of the London Mathematical Society · 685

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Crit�res de platitude et de projectivit�

1971 · Michel Raynaud, Laurent Gruson · Inventiones mathematicae · 650

Algebraic Number Theory

1991 · A. Fröhlich, M. J. Taylor · Cambridge University Press eBooks · 631

An algebraic framework for linear identification

2003 · Michel Fliess, Hebertt Sira–Ramírez · ESAIM Control Optimisation and Calculus of Variations · 534

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Lectures on modules and rings

1999 · Choice Reviews Online · 502

Flat Covers of Modules

1996 · Jinzhong Xu · Lecture notes in mathematics · 457

Injective and flat covers, envelopes and resolvents

1981 · Edgar E. Enochs · Israel Journal of Mathematics · 434

Purity and algebraic compactness for modules

1969 · Robert Warfield · Pacific Journal of Mathematics · 433

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Duality for modules and its applications to the theory of rings with minimum condition

1958 · 紀一森田, Kiiti Morita · 404

Lessons on Rings, Modules and Multiplicities

1968 · D. G. Northcott · Cambridge University Press eBooks · 390

Ring Theory: Nonsingular Rings and Modules

1976 · Kenneth Goodearl · 373

Coherent Rings and Fp -Injective Modules

1970 · Bo Stenström · Journal of the London Mathematical Society · 372

Local Representation Theory

1986 · J. L. Alperin · Cambridge University Press eBooks · 366

Multiplication modules

1988 · Zeinab Abd El-Bast, Patrick P. Smith · Communications in Algebra · 356

Modules and rings

1982 · Friedrich Kasch · 356

Modules over Dedekind rings and valuation rings

1952 · Irving Kaplansky · Transactions of the American Mathematical Society · 301

Trivial Extensions of Abelian Categories

1975 · Robert M. Fossum, Phillip A. Griffith, et al. · Lecture notes in mathematics · 293

Projective Modules

1958 · Irving Kaplansky · Annals of Mathematics · 291

Introducing OBJ

2000 · Joseph A. Goguen, Timothy Winkler, et al. · Advances in formal methods · 281

Quasi-Frobenius Rings

2003 · W. K. Nicholson, M. F. Yousif · Cambridge University Press eBooks · 278

Works count: 7,180

Citation count: 55,400