Advances in the Theory of Varieties of Semigroups

Research output: Book/ReportBook

Abstract

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.

Original languageAmerican English
PublisherBirkhäuser Cham
Number of pages287
ISBN (Electronic)978-3-031-16497-2
ISBN (Print)978-3-031-16496-5
DOIs
StatePublished - Apr 8 2023

Publication series

NameFrontiers in Mathematics
ISSN (Print)1660-8046
ISSN (Electronic)1660-8054

Keywords

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

Disciplines

  • Algebra
  • Mathematics
  • Physical Sciences and Mathematics

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