Advances in the Theory of Varieties of Semigroups image

Advances in the Theory of Varieties of Semigroups

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ABOUT THE BOOK

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.

TABLE OF CONTENTS

  1. Historical Overview and Main Results

    • Edmond W. H. Lee
    Pages 1-47

  2. Preliminaries

    • Edmond W. H. Lee
    Pages 49-61

  3. Semigroups

    1. Front Matter

      Pages 63-63
      Download chapter PDF 

    2. Aperiodic Rees–Suschkewitsch Varieties

      • Edmond W. H. Lee
      Pages 65-105

    3. Pseudo-Simple Hereditarily Finitely Based Identities

      • Edmond W. H. Lee
      Pages 107-112

    4. Sufficient Conditions for the Non-Finite Basis Property

      • Edmond W. H. Lee
      Pages 113-120

    5. Semigroups Without Irredundant Identity Bases

      • Edmond W. H. Lee
      Pages 121-146



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