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Advances in the theory of varieties of semigroups / Edmond W.H. Lee.

Lee, Edmond W. H. (Edmond Wing Hong), 1973- author.
2023
QA182 .L44 2023
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Title
Advances in the theory of varieties of semigroups / Edmond W.H. Lee.
Author
Lee, Edmond W. H. (Edmond Wing Hong), 1973- author.
ISBN
9783031164972 electronic book
3031164970 electronic book
9783031164965
3031164962
DOI
https://doi.org/10.1007/978-3-031-16497-2
Published
Cham : Birkhäuser, 2023.
Language
English
Description
1 online resource : illustrations (black and white).
Item Number
10.1007/978-3-031-16497-2 doi
Call Number
QA182 .L44 2023
Dewey Decimal Classification
512/.27
Summary
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 authors 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.
Bibliography, etc. Note
Includes bibliographical references and index.
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Access limited to authorized users.
Source of Description
Description based on print version record.
Series
Frontiers in mathematics.
Available in Other Form
Advances in the theory of varieties of semigroups.
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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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