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Completely Regular Semigroup Varieties: A Comprehensive Study with Modern Insights
Mario Petrich
(Author)
·
Norman R. Reilly
(Author)
·
Springer
· Hardcover
Completely Regular Semigroup Varieties: A Comprehensive Study with Modern Insights - Petrich, Mario ; Reilly, Norman R.
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Synopsis "Completely Regular Semigroup Varieties: A Comprehensive Study with Modern Insights"
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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All books in our catalog are Original.
The book is written in English.
The binding of this edition is Hardcover.
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