WW-Gorenstein objects in triangulated categories

We fix a proper class of triangles ξ in a triangulated category C . Let W be a class of objects in C such that ξxti ξ (W, W′ ) = 0 for all W, W′ ∈ W and all i ≥ 1. In this paper, we introduce the notion of W -Gorenstein objects and G(W) -(co)resolution dimensions of any object in C and study the properties of W -Gorenstein objects and characterize the finite G(W) -(co)resolution dimensions of any object. Some applications are given.

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ISSN: 1300-0098
Yayın Aralığı: Yılda 6 Sayı
Yayıncı: TÜBİTAK

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