The Fictioning Horror Sale
 
 

Recently Viewed clear list


Interviews | September 2, 2014

Jill Owens: IMG David Mitchell: The Powells.com Interview



David MitchellDavid Mitchell's newest mind-bending, time-skipping novel may be his most accomplished work yet. Written in six sections, one per decade, The Bone... Continue »
  1. $21.00 Sale Hardcover add to wish list

    The Bone Clocks

    David Mitchell 9781400065677

spacer

Commutative Semigroup Rings (Chicago Lectures in Mathematics)

by

Commutative Semigroup Rings (Chicago Lectures in Mathematics) Cover

ISBN13: 9780226293929
ISBN10: 0226293920
Condition:
All Product Details

 

Synopses & Reviews

Publisher Comments:

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.

Synopsis:

This book contains an account of the current state of knowledge on some topics in the area of commutative semigroup rings.

Table of Contents

PREFACE

I.    COMMUTATIVE  SEMIGROUPS

1. Basic Notions

2.  Cyclic Semigroups and Numerical Monoids

3.  Ordered  Semigroups

4.  Congruences

5.  Noetherian  Semigroups

6.  Factorization in Commutative Monoids

II.   SEMIGROUP RINGS AND THEIR DISTINGUISHED ELEMENTS

7.  Semigroup Rings

8.  Zero  Divisors

9.  Nilpotent Elements

10.  Idempotents

11.  Units

III. RING-THEORETIC PROPERTIES OF MONOID DOMAINS

12.  Integral Dependence for Monoid Domains

13. Monoid Domains as Priifer Domains

14. Monoid Domains as Factorial Domains

15. Monoid Domains as Krull Domains

16.  The Divisor Class Group of a Krull Monoid Domain

IV. RING-THEORETIC PROPERTIES OF MONOID RINGS

17. Monoid Rings as von Neumann Regular Rings

18.  Monoid  Rings  as  PrUfer  Rings

19.  Monoid Rings as Arithmetical Rings the Case Where  S   is not Torsion-Free

20.  Chain Conditions in Monoid Rings

V.   DIMENSION THEORY AND THE ISOMORPHISM PROBLEMS

21. Dimension Theory of Monoid Rings

22.  R-Automorphisms  of  R[S]

23.  Coefficient Rings in Isomorphic Monoid Rings. I

24.  Coefficient Rings in Isomorphic Monoid Rings. 11

25. Monoids In Isomorphic Monoid Rings - a Survey

SELECTED BIBLIOGRAPHY

TOPIC   INDEX

INDEX OF MAIN NOTATION

INDEX OF SOME MAIN RESULTS

What Our Readers Are Saying

Add a comment for a chance to win!
Average customer rating based on 1 comment:

alam.nooramu, April 5, 2012 (view all comments by alam.nooramu)
I would like to prefer this book because its play a key role to provide an interconnectivity between the two prominent branch of Algebra that is the class of Commutative semigroups and the class of Commutative rings.
Was this comment helpful? | Yes | No

Product Details

ISBN:
9780226293929
Author:
Gilmer, Robert
Publisher:
University of Chicago Press
Location:
Chicago :
Subject:
Mathematics
Subject:
Algebra - General
Subject:
Commutative rings
Subject:
Semilocal rings.
Subject:
Semigroup rings.
Subject:
Mathematics - Algebra
Edition Description:
Paperback
Series:
Chicago Lectures in Mathematics (Paperback)
Series Volume:
ser. 2
Publication Date:
20090331
Binding:
TRADE PAPER
Grade Level:
Professional and scholarly
Language:
English
Illustrations:
Yes
Pages:
390
Dimensions:
8.12x5.29x.82 in. .70 lbs.

Other books you might like

  1. On Godel (Wadsworth Philosophers Series) New Trade Paper $19.25
  2. Philosophical Scientists Used Hardcover $4.95
  3. Life in Medieval Times Used Trade Paper $6.95
  4. Larousse Encyclopedia of Ancient and... Used Hardcover $4.95

Related Subjects

Science and Mathematics » Mathematics » Algebra » General

Commutative Semigroup Rings (Chicago Lectures in Mathematics) New Trade Paper
0 stars - 0 reviews
$50.25 In Stock
Product details 390 pages University of Chicago Press - English 9780226293929 Reviews:
"Synopsis" by , This book contains an account of the current state of knowledge on some topics in the area of commutative semigroup rings.
spacer
spacer
  • back to top
Follow us on...




Powell's City of Books is an independent bookstore in Portland, Oregon, that fills a whole city block with more than a million new, used, and out of print books. Shop those shelves — plus literally millions more books, DVDs, and gifts — here at Powells.com.