WW\mathcal{W}-Gorenstein objects in triangulated categories

Chaoling HUANG; Kaituo LIU

Makale detayları

WW\mathcal{W}-Gorenstein objects in triangulated categories

Yazarlar:

Chaoling HUANG | Kaituo LIU

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2017 Vol.41 Issue 1, pp.138-157

Belge Tipi:

Makale

Yayın Tarihi:

1/2017

Belge Dili:

Türkçe

Document ID (Org No.):

2000746093

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Özet:

 

We fix a proper class of triangles ξξ\xi in a triangulated category CC\mathcal{C}. Let WW\mathcal{W} be a class of objects in CC\mathcal{C} such that ξxtiξ(W, W′)=0ξxtξi(W, W′)=0\xi xt^i_\xi(W,\ W')=0 for all W,W′∈WW,W′∈WW, W'\in\mathcal{W} and all i≥1i≥1i\geq 1. In this paper, we introduce the notion of WW\mathcal{W}-Gorenstein objects and G(W)G(W)\mathcal{G}(\mathcal{W})-(co)resolution dimensions of any object in CC\mathcal{C} and study the properties of WW\mathcal{W}-Gorenstein objects and characterize the finite G(W)G(W)\mathcal{G}(\mathcal{W})-(co)resolution dimensions of any object. Some applications are given.

Makale detayları

WW\mathcal{W}-Gorenstein objects in triangulated categories

Yazarlar: Chaoling HUANG | Kaituo LIU

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2017 Vol.41 Issue 1, pp.138-157

Belge Tipi: Makale

Yayın Tarihi: 1/2017

Belge Dili: Türkçe

Document ID (Org No.): 2000746093

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Sayı

Yazarlar:

Chaoling HUANG | Kaituo LIU

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2017 Vol.41 Issue 1, pp.138-157

Belge Tipi:

Makale

Yayın Tarihi:

1/2017

Belge Dili:

Türkçe

Document ID (Org No.):

2000746093

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098