| 书目名称 | From Groups to Categorial Algebra | | 副标题 | Introduction to Prot | | 编辑 | Dominique Bourn | | 视频video | | | 概述 | Entirely self-contained non-technical introduction to protomodular categories—and to Mal’tsev categories.Hardly any previous knowledge is assumed.Examples and exercises isllustrate basic definitions a | | 丛书名称 | Compact Textbooks in Mathematics | | 图书封面 |  | | 描述 | .This book gives a thorough and entirely self-contained, in-depth introduction to a specific approach to group theory, in a large sense of that word. The focus lie on the relationships which a group may have with other groups, via “universal properties”, a view on that group “from the outside”. This method of categorical algebra, is actually not limited to the study of groups alone, but applies equally well to other similar categories of algebraic objects..By introducing protomodular categories and Mal’tsev categories, which form a larger class, the structural properties of the category Gp of groups, show how they emerge from four very basic observations about the algebraic litteral calculus and how, studied for themselves at the conceptual categorical level, they lead to the main striking features of the category Gp of groups..Hardly any previous knowledge of category theory is assumed, and just a little experience with standard algebraic structures such as groups and monoids. Examples and exercises help understanding the basic definitions and results throughout the text. . | | 出版日期 | Textbook 2017 | | 关键词 | group; category of groups; pullback in a category; internal group in a category; protomodular; mal‘tsev | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-319-57219-2 | | isbn_softcover | 978-3-319-57218-5 | | isbn_ebook | 978-3-319-57219-2Series ISSN 2296-4568 Series E-ISSN 2296-455X | | issn_series | 2296-4568 | | copyright | Springer International Publishing AG 2017 |
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发表于 2025-3-21 16:53:03
