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Commutative Semigroup Rings

By: Robert Gilmer

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Paperback | 15 March 1984 | Edition Number 1

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Paperback
390 Pages

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2.03 x 1.37 x 0.24

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Commutative Semigroup Rings was the first exposition of the basic properties of semigroup rings. Gilmer concentrates on the interplay between semigroups and rings, thereby illuminating both of these important concepts in modern algebra.

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Non-Fiction Mathematics Algebra Miscellaneous Items Business & Management

Preface
Commutative Semigroups
Basic Notions
Cyclic Semigroups and Numerical Monoids
Orderednbsp; Semigroups
Congruences
Noetheriannbsp; Semigroups
Factorization in Commutative Monoids
Semigroup Rings and their Distinguished Elements
Semigroup Rings
Zeronbsp; Divisors
Nilpotent Elements
Idempotents
Units
Ring-Theoretic Properties of Monoid Domains
Integral Dependence for Monoid Domains
Monoid Domains as Priifer Domains
Monoid Domains as Factorial Domains
Monoid Domains as Krull Domains
The Divisor Class Group of a Krull Monoid Domain
Ring-Theoretic Properties of Monoid Rings
Monoid Rings as von Neumann Regular Rings
Monoidnbsp; Ringsnbsp; asnbsp; PrUfernbsp; Rings
Monoid Rings as Arithmetical Rings the Case Wherenbsp; Snbsp;nbsp; is not Torsion-Free
Chain Conditions in Monoid Rings
Dimension Theory and The Isomorphism Problems
Dimension Theory of Monoid Rings
R-Automorphismsnbsp; ofnbsp; R[S]
Coefficient Rings in Isomorphic Monoid Rings. I
Coefficient Rings in Isomorphic Monoid Rings. 11
Monoids In Isomorphic Monoid Rings - a Survey
Selected Bibliography Topic
Index
Index of Main Notation
Index of Some Main Results
Table of Contents provided by Publisher. All Rights Reserved.

Commutative Semigroup Rings

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Paperback

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