Commutative Semigroups

Beschreibung

Neuware -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].Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 456 pp. Englisch.

Bestandsnummer des Verkäufers 9780792370673

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Bibliografische Details

Titel

Commutative Semigroups

Verlag

Springer US, Springer US Jul 2001

Erscheinungsjahr

2001

Sprache

Englisch

ISBN-10

0792370678

ISBN-13

9780792370673

Einband

Buch

Zustand

Neu

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