عنوان
پدید آورنده
موضوع
رده
کتابخانه
محل استقرار
INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
9781441948571
(Number (ISBN
9781475733891
NATIONAL BIBLIOGRAPHY NUMBER
Number
dltt
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Commutative Semigroups
General Material Designation
[Book]
First Statement of Responsibility
by P. A. Grillet.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Boston, MA :
Name of Publisher, Distributor, etc.
Imprint: Springer,
Date of Publication, Distribution, etc.
2001.
SERIES
Series Title
Advances in Mathematics ;
Volume Designation
2
CONTENTS NOTE
Text of Note
General structure theory -- I. Elementary properties -- II. Cancellative semigroups -- III. Semilattice decompositions -- IV. Subdirect decompositions -- V. Group coextensions -- VI. Finitely generated semigroups -- VII. Subcomplete semigroups -- VIII. Other results -- Congruences -- IX. Nilsemigroups -- X. Group-free semigroups -- XI. Subcomplete semigroups -- Cohomology -- XII. Commutative semigroup cohomology -- XIII. The overpath method -- XIV. Semigroups with zero cohomology -- References -- Author Index -- Notation.
0
SUMMARY OR ABSTRACT
Text of Note
The first book on commutative semigroups was Redei's The theory of .finitely generated commutative semigroups, published in Budapest in 1956. Subsequent years have brought much progress. By 1975 the structure of finite commutative semigroups was fairly well understood. Recent results have perfected this understanding and extended it to finitely generated semigroups. Today's coherent and powerful structure theory is the central subject of the present book. 1. Commutative semigroups are more important than is suggested by the stan dard examples ofsemigroups, which consist ofvarious kinds oftransformations or arise from finite automata, and are usually quite noncommutative. Commutative of factoriza semigroups provide a natural setting and a useful tool for the study tion in rings. Additive subsemigroups of N and Nn have close ties to algebraic geometry. Commutative rings are constructed from commutative semigroups as semigroup algebras or power series rings. These areas are all subjects of active research and together account for about half of all current papers on commutative semi groups. Commutative results also invite generalization to larger classes of semigroups. Archimedean decompositions, a comparatively small part oftoday's arsenal, have been generalized extensively, as shown for instance in the upcoming books by Nagy [2001] and Ciric [2002].
OTHER EDITION IN ANOTHER MEDIUM
International Standard Book Number
9781441948571
PIECE
Title
Springer eBooks
TOPICAL NAME USED AS SUBJECT
Algebra.
Group theory.
Mathematics.
PERSONAL NAME - PRIMARY RESPONSIBILITY
Grillet, P. A.
CORPORATE BODY NAME - ALTERNATIVE RESPONSIBILITY
SpringerLink (Online service)
ORIGINATING SOURCE
Date of Transaction
20190301075800.0
ELECTRONIC LOCATION AND ACCESS
Electronic name
مطالعه متن کتاب [Book]
Y
