| 书目名称 | The Cohomology of Monoids | | 编辑 | Antonio M. Cegarra,Jonathan Leech | | 视频video | | | 概述 | The first thorough exposition of the Leech cohomology of monoids and its connection to other cohomologies.Delivers an updated study of the classification of coextensions of monoids and of monoidal gro | | 丛书名称 | RSME Springer Series | | 图书封面 |  | | 描述 | This monograph covers topics in the cohomology of monoids up through recent developments. Jonathan Leech’s original monograph in the Memoirs of the American Mathematical Society dates back to 1975. This book is an organized, accessible, and self-contained account of this cohomology that includes more recent significant developments that were previously scattered among various publications, along with completely new material. It summarizes the original Leech theory and provides a modern and thorough treatment of the cohomological classification of coextensions of both monoids and monoidal groupoids, including the case of monoids with operators. This cohomology is also compared to the classical Eilenberg-Mac Lane and Hochschild-Mitchell cohomologies. Connections are also established with the Lausch-Loganathan cohomology theory for inverse semigroups, the Gabriel-Zisman cohomology of simplicial sets, the Wells cohomology of small categories (also known as Baues-Wirschingcohomology), Grothendieck sheaf cohomology, and finally Beck’s triple cohomology. It also establishes connections with Grillet’s cohomology theory for commutative semigroups. .The monograph is aimed at researchers i | | 出版日期 | Book 2024 | | 关键词 | Cohomology of Monoids; Cohomology of Small Categories; Coextensions of Monoids; H-Coextensions; Schützen | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-031-50258-3 | | isbn_softcover | 978-3-031-50260-6 | | isbn_ebook | 978-3-031-50258-3Series ISSN 2509-8888 Series E-ISSN 2509-8896 | | issn_series | 2509-8888 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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发表于 2025-3-21 19:23:57
