A note on Gorenstein projective complexes

Bo LU; Liu ZHONGKUI

Makale detayları

A note on Gorenstein projective complexes

Yazarlar:

Bo LU | Liu ZHONGKUI

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2016 Vol.40 Issue 2, pp.235-243

Belge Tipi:

Makale

Yayın Tarihi:

3/2016

Belge Dili:

Türkçe

Document ID (Org No.):

2000747003

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Özet:

 

As we know, a complex QQQ is projective if and only if QQQ is exact and Zn(Q)Zn(Q)\mathrm{Z}_n(Q) is projective in RRR-ModMod\mathrm{Mod} for each n∈Zn∈Zn\in\mathbb{Z}. In this article, we show that a complex GGG is Gorenstein projective with HomR(P,G)R(P,G)_R(P,G) and HomR(G,P)R(G,P)_R(G,P) exact for any Cartan--Eilenberg projective complex PPP if and only if GGG is exact and Zn(G)Zn(G)\mathrm{Z}_n(G) is Gorenstein projective in RRR-ModMod\mathrm{Mod} for each n∈Zn∈Zn\in\mathbb{Z}. Using the above result, a new equivalent characterization of some AA\mathcal{A} complexes is obtained.

Makale detayları

A note on Gorenstein projective complexes

Yazarlar: Bo LU | Liu ZHONGKUI

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2016 Vol.40 Issue 2, pp.235-243

Belge Tipi: Makale

Yayın Tarihi: 3/2016

Belge Dili: Türkçe

Document ID (Org No.): 2000747003

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Sayı

Yazarlar:

Bo LU | Liu ZHONGKUI

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2016 Vol.40 Issue 2, pp.235-243

Belge Tipi:

Makale

Yayın Tarihi:

3/2016

Belge Dili:

Türkçe

Document ID (Org No.):

2000747003

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098