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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...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, R.I. :
American Mathematical Society,
1965.
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| Colección: | Memoirs of the American Mathematical Society ;
no. 55. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | 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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| Descripción Física: | 1 online resource (39 pages) |
| Bibliografía: | Includes bibliographical references (page 39). |
| ISBN: | 9781470400019 1470400014 |