LIBERO WebOPAC Catalogue Display (W561)

Catalogue Information
Field name	Details
Dewey Class	512
Title	From Groups to Categorial Algebra ([EBook]) : Introduction to Protomodular and Mal’tsev Categories / / by Dominique Bourn.
Author	Bourn, Dominique
Other name(s)	SpringerLink (Online service)
Publication	Cham : : Springer International Publishing : : Imprint: Birkhäuser, , 2017.
Physical Details	XII, 106 p. : online resource.
Series	Compact Textbooks in Mathematics 2296-4568
ISBN	9783319572192
Summary Note	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. .:
Contents note	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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-319-57219-2
Links to Related Works	Subject References: Algebra . Category Theory, Homological Algebra . Category theory (Mathematics) . General Algebraic Systems . Homological algebra . Mathematics . Authors: Bourn, Dominique . Corporate Authors: SpringerLink (Online service) . Series: Compact Textbooks in Mathematics . Classification: 512 .

Catalogue Display

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

Reviews