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| E-Books | Biblioteca da FCTUNL | Não Ficção | QA150 FCT 97595 (Browse shelf) | 1 | Available |
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| QA150. FCT 97147 Algebra for cryptologists | QA150 FCT 97315 Algebra and its applications | QA150 FCT 97552 From natural numbers to quaternions | QA150 FCT 97595 From groups to categorial algebra | QA150 FCT 97647 Algebra II | QA150. FCT 97737 Mathematical bridges | QA150 FCT 97835 Putnam and beyond |
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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. .
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