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Record Nr. |
UNINA9910686471103321 |
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Autore |
Lee Edmond W. H (Edmond Wing Hong), <1973-> |
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Titolo |
Advances in the Theory of Varieties of Semigroups / / by Edmond W. H. Lee |
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Pubbl/distr/stampa |
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Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2023 |
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ISBN |
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Edizione |
[1st ed. 2023.] |
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Descrizione fisica |
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1 online resource (XV, 287 p. 16 illus.) |
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Collana |
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Frontiers in Mathematics, , 1660-8054 |
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Disciplina |
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Soggetti |
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Group theory |
Algebra |
Group Theory and Generalizations |
Order, Lattices, Ordered Algebraic Structures |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di contenuto |
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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. |
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Sommario/riassunto |
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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 |
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