Matej Bra i's Books

Introduction to Noncommutative Algebra

By: Matej Brešar

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Introduction to Noncommutative Algebra

By: Matej Brešar

Providing an elementary introduction to noncommutative rings and algebras, this textbook begins with the classical theory of finite dimensional algebras. Only after this, modules, vector spaces over division rings, and tensor products are introduced and studied. This is followed by Jacobson's structure theory of rings. The final chapters treat free algebras, polynomial identities, and rings of quotients. Many of the results are not presented in their full generality. Rather, the emphasis is on clarity of exposition and simplicity of the proofs, with several being different from those in other texts on the subject. Prerequisites are kept to a minimum, and new concepts are introduced gradually and are carefully motivated. Introduction to Noncommutative Algebra is therefore accessible to a wide mathematical audience. It is, however, primarily intended for beginning graduate and advanced undergraduate students encountering noncommutative algebra for the first time.

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Page Count

227

Publisher

Springer

Published Date

ISBN 10

3319086936

ISBN 13

9783319086934

Functional Identities

By: Matej Brešar,Mikhail A. Chebotar,Wallace S. Martindale

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Functional Identities

By: Matej Brešar,Mikhail A. Chebotar,Wallace S. Martindale

A functional identity can be informally described as an identical relation involving arbitrary elements in an associative ring together with arbitrary (unknown) functions. The theory of functional identities is a relatively new one, and this is the first book on this subject. The book is accessible to a wide audience and touches on a variety of mathematical areas such as ring theory, algebra and operator theory.

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Page Count

274

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3764377968

ISBN 13

9783764377960

Undergraduate Algebra

A Unified Approach

By: Matej Brešar

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Undergraduate Algebra

A Unified Approach

By: Matej Brešar

This textbook offers an innovative approach to abstract algebra, based on a unified treatment of similar concepts across different algebraic structures. This makes it possible to express the main ideas of algebra more clearly and to avoid unnecessary repetition. The book consists of two parts: The Language of Algebra and Algebra in Action. The unified approach to different algebraic structures is a primary feature of the first part, which discusses the basic notions of algebra at an elementary level. The second part is mathematically more complex, covering topics such as the Sylow theorems, modules over principal ideal domains, and Galois theory. Intended for an undergraduate course or for self-study, the book is written in a readable, conversational style, is rich in examples, and contains over 700 carefully selected exercises.

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Page Count

337

Publisher

Springer

Published Date

ISBN 10

3030140539

ISBN 13

9783030140533

Book's by Matej Bra i

Introduction to Noncommutative Algebra

Introduction to Noncommutative Algebra

Functional Identities

Functional Identities

Undergraduate Algebra

Undergraduate Algebra

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