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Introduction to Ring Theory [electronic resource] / by Paul M. Cohn.

By: Material type: Computer fileComputer filePublication details: London : Springer London : Imprint: Springer, 2000.Edition: 1st ed. 2000Description: X, 229 p. online resourceISBN:
  • 9781447104759
Subject(s): DDC classification:
  • 512 23
Online resources:
Contents:
Remarks on Notation and Terminology -- 1 Basics -- 2 Linear Algebras and Artinian Rings -- 3 Noetherian Rings -- 4 Ring Constructions -- 5 General Rings -- Outline Solutions -- Notations and Symbols.
Summary: Most parts of algebra have undergone great changes and advances in recent years, perhaps none more so than ring theory. In this volume, Paul Cohn provides a clear and structured introduction to the subject. After a chapter on the definition of rings and modules there are brief accounts of Artinian rings, commutative Noetherian rings and ring constructions, such as the direct product. Tensor product and rings of fractions, followed by a description of free rings. The reader is assumed to have a basic understanding of set theory, group theory and vector spaces. Over two hundred carefully selected exercises are included, most with outline solutions.
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Item type Home library Call number Status Date due Barcode Item holds
e-Book e-Book S. R. Ranganathan Learning Hub Online 512 (Browse shelf(Opens below)) Available EB1382
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Remarks on Notation and Terminology -- 1 Basics -- 2 Linear Algebras and Artinian Rings -- 3 Noetherian Rings -- 4 Ring Constructions -- 5 General Rings -- Outline Solutions -- Notations and Symbols.

Most parts of algebra have undergone great changes and advances in recent years, perhaps none more so than ring theory. In this volume, Paul Cohn provides a clear and structured introduction to the subject. After a chapter on the definition of rings and modules there are brief accounts of Artinian rings, commutative Noetherian rings and ring constructions, such as the direct product. Tensor product and rings of fractions, followed by a description of free rings. The reader is assumed to have a basic understanding of set theory, group theory and vector spaces. Over two hundred carefully selected exercises are included, most with outline solutions.

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