Commutative Semigroups
(Sprache: Englisch)
This is the first book about commutative semigroups in general. Emphasis is on structure but the other parts of the theory are at least surveyed and a full set of about 850 references is included. The book is intended for mathematicians who do research on...
Voraussichtlich lieferbar in 3 Tag(en)
versandkostenfrei
Buch (Kartoniert)
219.99 €
- Lastschrift, Kreditkarte, Paypal, Rechnung
- Kostenlose Rücksendung
- Ratenzahlung möglich
Produktdetails
Produktinformationen zu „Commutative Semigroups “
This is the first book about commutative semigroups in general. Emphasis is on structure but the other parts of the theory are at least surveyed and a full set of about 850 references is included. The book is intended for mathematicians who do research on semigroups or who encounter commutative semigroups in their research.
Klappentext zu „Commutative Semigroups “
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].
Inhaltsverzeichnis zu „Commutative Semigroups “
- Preface- 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
- Index
Bibliographische Angaben
- Autor: P.A. Grillet
- 2010, XIV, 437 Seiten, Maße: 16 x 24 cm, Kartoniert (TB), Englisch
- Verlag: Springer, Berlin
- ISBN-10: 1441948570
- ISBN-13: 9781441948571
Sprache:
Englisch
Kommentar zu "Commutative Semigroups"
Schreiben Sie einen Kommentar zu "Commutative Semigroups".
Kommentar verfassen