书目名称 | Completely Regular Semigroup Varieties |
副标题 | A Comprehensive Stud |
编辑 | Mario Petrich,Norman R. Reilly |
视频video | |
概述 | Includes recent advances, insights, results, and techniques throughout the book in order to expand on the topic.Introduces various relations and operators on the lattice of varieties of completely reg |
丛书名称 | Synthesis Lectures on Mathematics & Statistics |
图书封面 |  |
描述 | .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.. |
出版日期 | Textbook 2024 |
关键词 | Completely Regular Semigroups; Varieties of Completely Regular Semigroups; Varieties of Bands; Word Pro |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-031-42891-3 |
isbn_softcover | 978-3-031-42893-7 |
isbn_ebook | 978-3-031-42891-3Series ISSN 1938-1743 Series E-ISSN 1938-1751 |
issn_series | 1938-1743 |
copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |