VWVW\mathcal{VW}-Gorenstein complexes

Renyu ZHAO; Wei REN

Makale detayları

VWVW\mathcal{VW}-Gorenstein complexes

Yazarlar:

Renyu ZHAO | Wei REN

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2017 Vol.41 Issue 3, pp.537-547

Belge Tipi:

Makale

Yayın Tarihi:

5/2017

Belge Dili:

Türkçe

Document ID (Org No.):

2000746041

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Özet:

 

Let V,WV,W\mathcal{V,W} be two classes of modules. In this paper, we introduce  and study VWVW\mathcal{VW}-Gorenstein complexes as a common generalization  of WW\mathcal{W}-complexes, Gorenstein projective (resp., Gorenstein injective) complexes, and GCGCG_C-projective (resp., GCGCG_C-injective) complexes. It is shown that under certain hypotheses a complex XXX is VWVW\mathcal{VW}-Gorenstein if and only if each XnXnX^n is a VWVW\mathcal{VW}-Gorenstein module. This result unifies the corresponding results of the aforementioned complexes. As an application, the stability of VWVW\mathcal{VW}-Gorenstein complexes is explored.

Makale detayları

VWVW\mathcal{VW}-Gorenstein complexes

Yazarlar: Renyu ZHAO | Wei REN

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2017 Vol.41 Issue 3, pp.537-547

Belge Tipi: Makale

Yayın Tarihi: 5/2017

Belge Dili: Türkçe

Document ID (Org No.): 2000746041

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Sayı

Yazarlar:

Renyu ZHAO | Wei REN

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2017 Vol.41 Issue 3, pp.537-547

Belge Tipi:

Makale

Yayın Tarihi:

5/2017

Belge Dili:

Türkçe

Document ID (Org No.):

2000746041

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098