A Smashing Subcategory of the Homotopy Category of Gorenstein Projective Modules
نویسندگان
چکیده
منابع مشابه
Homotopy category of projective complexes and complexes of Gorenstein projective modules
Let R be a ring with identity and C(R) denote the category of complexes of R-modules. In this paper we study the homotopy categories arising from projective (resp. injective) complexes as well as Gorenstein projective (resp. Gorenstein injective) modules. We show that the homotopy category of projective complexes over R, denoted K(Prj C(R)), is always well generated and is compactly generated p...
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Since Eilenberg and Moore [EM], the relative homological algebra, especially the Gorenstein homological algebra ([EJ2]), has been developed to an advanced level. The analogues for the basic notion, such as projective, injective, flat, and free modules, are respectively the Gorenstein projective, the Gorenstein injective, the Gorenstein flat, and the strongly Gorenstein projective modules. One c...
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ژورنال
عنوان ژورنال: Applied Categorical Structures
سال: 2013
ISSN: 0927-2852,1572-9095
DOI: 10.1007/s10485-013-9325-8