Non-Abelian Homological Algebra and Its Applications
Hvedri Inassaridze
Broschiertes Buch

Non-Abelian Homological Algebra and Its Applications

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While in classical (abelian) homological algebra additive functors from abelian (or additive) categories to abelian categories are investigated , non- abelian homological algebra deals with non-additive functors and their homological properties , in particular with functors having values in non-abelian categories. Such functors haveimportant applications in algebra, algebraic topology, functional analysis, algebraic geometry and other principal areas of mathematics. To study homological properties of non-additive functors it is necessary to define and investigate their derived functors and sat...