| 書(shū)目名稱 | From Groups to Categorial Algebra | | 副標(biāo)題 | Introduction to Prot | | 編輯 | Dominique Bourn | | 視頻video | http://file.papertrans.cn/349/348707/348707.mp4 | | 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 | | 叢書(shū)名稱 | Compact Textbooks in Mathematics | | 圖書(shū)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 | | 關(guān)鍵詞 | 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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