From Groups to Categorial Algebra Introduction to Protomodular and Mal’tsev Categories /

• Main Author: Bourn, Dominique (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2017.
• Series: Compact Textbooks in Mathematics,
• Subjects: Mathematics.; Category theory (Mathematics).; Homological algebra.; Algebra.; General Algebraic Systems.; Category Theory, Homological Algebra.

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...

Table of Contents:

• Basic concepts in category theory
• Internal structures
• Four basic facts in Algebra
• Unital and protomodular categories
• Regular and homological categories
• Linear and additive categories
• Mal’tsev, naturally Mal’tsev categories.