P a Grillet

(Author)

Commutative SemigroupsPaperback, 7 December 2010

Commutative Semigroups
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Part of Series
Advances in Mathematics
Print Length
437 pages
Language
English
Publisher
Springer
Date Published
7 Dec 2010
ISBN-10
1441948570
ISBN-13
9781441948571

Description

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].

Product Details

Author:
P a Grillet
Book Format:
Paperback
Country of Origin:
NL
Date Published:
7 December 2010
Dimensions:
22.86 x 15.49 x 2.29 cm
ISBN-10:
1441948570
ISBN-13:
9781441948571
Language:
English
Location:
New York, NY
Pages:
437
Publisher:
Weight:
589.67 gm

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