The Fundamentals and Rudiments of Homological Algebra

This title is printed to order. This book may have been self-published. If so, we cannot guarantee the quality of the content. In the main most books will have gone through the editing process however some may not. We therefore suggest that you be aware of this before ordering this book. If in doubt check either the author or publisher’s details as we are unable to accept any returns unless they are faulty. Please contact us if you have any questions.

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.