Completely Regular Semigroup Varieties: A Comprehensive Study With Modern Insights - Couverture rigide

Livre 64 sur 72: Synthesis Lectures on Mathematics & Statistics

Petrich, Mario; Reilly, Norman R.

 
9783031428906: Completely Regular Semigroup Varieties: A Comprehensive Study With Modern Insights
Couverture rigide
ISBN 10 : 3031428900 ISBN 13 : 9783031428906
Editeur : Springer International Publishing AG, 2024

Synopsis

This book is a unified treatment of the most important core developments in the theory of completely regular semigroup theory as it stands today. This volume focuses on the lattice of varieties of completely regular semigroups. Since any in-depth study of the lattice of varieties requires an understanding of free completely regular semigroups, the book begins by describing the free object on countably infinite sets and the properties of the lattice of fully invariant congruences on the free object. The authors introduce various associated relations and operators on the lattice of varieties of completely regular semigroups. Following that, the book covers the sublattice of varieties of bands with a focus on the influence of that sublattice on the structure of the whole lattice. The book concludes with the remarkable theorem due to Polák describing the whole lattice of varieties of completely regular as a subdirect product of lattices, some of which are well understood. The authors include recent advances, insights, results, and techniques throughout the book.

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À propos de l?auteur

Mario Petrich received his Ph.D. from the University of Washington in 1961 and held positions in many universities across Austria, Canada, France, Germany, Italy, Portugal, Spain, the UK, and the US, including Pennsylvania State University, University of Western Ontario, University of Vienna, University of St Andrews, Simon Fraser University, and University of Montpellier. He was a founding editor of Semigroup Forum.

Norman Reilly received his Ph.D. from Glasgow University in 1965 and has held positions at Glasgow University, Tulane University, and Simon Fraser University. Dr. Reilly has published over 100 articles and two books. He is a long time editor of Semigroup Forum and the International Journal of Algebra and Computation.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Springer International Publishing AG
Date d'édition
2024
Langue
anglais
ISBN 10 
3031428900
ISBN 13 
9783031428906
Reliure
Relié
Nombre de pages
252
Coordonnées du fabricant
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