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Advances in the Theory of Varieties of Semigroups / / by Edmond W. H. Lee



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Autore: Lee Edmond W. H Visualizza persona
Titolo: Advances in the Theory of Varieties of Semigroups / / by Edmond W. H. Lee Visualizza cluster
Pubblicazione: Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2023
Edizione: 1st ed. 2023.
Descrizione fisica: 1 online resource (XV, 287 p. 16 illus.)
Disciplina: 512.2
512.27
Soggetto topico: Group theory
Algebra
Group Theory and Generalizations
Order, Lattices, Ordered Algebraic Structures
Semigrups
Àlgebra
Soggetto genere / forma: Llibres electrònics
Nota di contenuto: Historical overview and main results -- Preliminaries. Part I - Semigroups -- Aperiodic Rees-Suschkewitsch varieties -- A problem of Pollak and Volkov on hereditarily finitely based identities -- Sufficient conditions for the non-finite basis property -- Semigroups without irredundant identity bases -- Part II - Involution Semigroups -- Involution semigroups with infinite irredundant identity bases -- Finitely based involution semigroups with non-finitely based reducts -- Counterintuitive examples of involution semigroups -- Equational theories of twisted involution semigroups -- Part III - Monoids -- Hereditarily finitely based varieties of monoids -- Varieties of aperiodic monoids with central idempotents -- Certain Cross varieties of aperiodic monoids with commuting idempotents -- Counterintuitive examples of monoids.
Sommario/riassunto: This monograph thoroughly explores the development of the theory of varieties of semigroups and of two related algebras: involution semigroups and monoids. Through this in-depth analysis, readers will attain a deeper understanding of the differences between these three types of varieties, which may otherwise seem counterintuitive. New results with detailed proofs are also presented that answer previously unsolved fundamental problems. Featuring both a comprehensive overview as well as highlighting the author’s own significant contributions to the area, this book will help establish this subfield as a matter of timely interest. Advances in the Theory of Varieties of Semigroups will appeal to researchers in universal algebra and will be particularly valuable for specialists in semigroups.
Titolo autorizzato: Advances in the Theory of Varieties of Semigroups  Visualizza cluster
ISBN: 3-031-16497-0
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910686471103321
Lo trovi qui: Univ. Federico II
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Serie: Frontiers in Mathematics, . 1660-8054