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  1. Bog
  2. Matematik
  3. Algebra

From Groups to Categorial Algebra

- Introduction to Protomodular and Mal’tsev Categories
Af: Dominique Bourn Engelsk Paperback

From Groups to Categorial Algebra

- Introduction to Protomodular and Mal’tsev Categories
Af: Dominique Bourn Engelsk Paperback
Tjek vores konkurrenters priser
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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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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Se mere i:
Produktdetaljer
Sprog: Engelsk
Sider: 106
ISBN-13: 9783319572185
Indbinding: Paperback
Udgave:
ISBN-10: 3319572180
Kategori: Algebra
Udg. Dato: 26 jun 2017
Længde: 9mm
Bredde: 157mm
Højde: 237mm
Forlag: Birkhauser Verlag AG
Oplagsdato: 26 jun 2017
Forfatter(e): Dominique Bourn
Forfatter(e) Dominique Bourn

Kategori Algebra

ISBN-13 9783319572185

Sprog Engelsk

Indbinding Paperback

Sider 106

Udgave

Længde 9mm

Bredde 157mm

Højde 237mm

Udg. Dato 26 jun 2017

Oplagsdato 26 jun 2017

Forlag Birkhauser Verlag AG

Kategori sammenhænge