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Foundations of relative homological algebra /

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 resolu...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Eilenberg, Samuel
Otros Autores: Moore, John C. (John Coleman)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, R.I. : American Mathematical Society, 1965.
Colección:Memoirs of the American Mathematical Society ; no. 55.
Temas:
Acceso en línea:Texto completo

MARC

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245 1 0 |a Foundations of relative homological algebra /  |c by Samuel Eilenberg and J.C. Moore. 
260 |a Providence, R.I. :  |b American Mathematical Society,  |c 1965. 
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490 1 |a Memoirs of the American Mathematical Society ;  |v no. 55 
504 |a Includes bibliographical references (page 39). 
505 0 0 |t Introduction  |t I. Relative homological algebra  |t II. The adjoint theorem  |t III. Examples  |t IV. Complexes in an abelian category. 
588 0 |a Print version record. 
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546 |a English. 
520 |a 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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650 0 |a Algebra, Homological. 
650 6 |a Algèbre homologique. 
650 7 |a Algebra, Homological  |2 fast 
650 7 |a Homologische Algebra  |2 gnd 
650 1 7 |a Homologische algebra.  |2 gtt 
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830 0 |a Memoirs of the American Mathematical Society ;  |v no. 55. 
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