Foundations of Relative Homological Algebra
Samuel Eilenberg · J. C. Moore
Jan 1965 · American Mathematical Society: Memoirs of the American Mathematical Society Kitabu cha 55 · American Mathematical Soc.
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reportUkadiriaji na maoni hayajahakikishwa Pata Maelezo Zaidi
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The main notion of this paper is that of a "projective class of sequences" in an arbitrary (pointed) category. Each such class carries with it its own projective objects. One can then talk about projective resolutions, and if the category is additive, all the usual properties of the resolutions hold. In particular, this will permit the development of homological algebra in some additive categories which are not abelian, e.g., the category of comodules over a coalgebra over an arbitrary commutative ring.
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