Chapter Title

Advances in the Theory of Varieties of Semigroups

Book Title

Frontiers in Mathematics (series)

Authors

Edmond W. H. Lee, Nova Southeastern UniversityFollow

Files

Document Type

Book

Description

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.

ISBN

978-3-031-16497-2

Publication Date

4-8-2023

Publisher

Birkhäuser Cham

Keywords

Semigroup, Monoid, Involution semigroup, Finite identity basis, Irredundant identity basis, Hereditarily finitely based, Rees-Suschkewitsch variety, Lattice of varieties, Universal algebra, Cross variety, Limit variety

Disciplines

Algebra | Mathematics | Physical Sciences and Mathematics

NSUWorks Citation

Lee, Edmond W. H.. (2023). Advances in the Theory of Varieties of Semigroups. In Frontiers in Mathematics (series) (287pp.).

ORCID ID

0000-0002-1662-3734

ResearcherID

I-6970-2013

DOI

10.1007/978-3-031-16497-2