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The Fundamentals and Rudiments of Homological Algebra

The Fundamentals and Rudiments of Homological Algebra

Paperback

Probability & Statistics

ISBN10: 6208418593
ISBN13: 9786208418595
Publisher: LAP Lambert Academic Publishing
Published: Jan 17 2025
Pages: 64
Weight: 0.22
Height: 0.15 Width: 6.00 Depth: 9.00
Language: English
A category C consists of a class of C - Objects and a class of C - Morphisms, denoted respectfully by Ob(C) and Mor(C), for each ordered pair ( A, B ) of C - Objects which satisfies the axioms of COMPOSITION OF MORPHISMS, PRODUCTS OF MORPHISMS, AN IDENTITY OF MORPHISMS, as well as the DOMAIN and the CODOMAIN ( RANGE ). In any case, each object A in the given category C is uniquely determined by the IDENTITY MORPHISM. On the other hand, the IDENTITY is uniquely determined by A. And so, by replacing as C, the IDENTITY MORPHISMS, a category can then be defined alternatively and entirely in terms of MORPHISMS.

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