Abelian model structures and Ding homological dimensions

Chongqing WEİ; Limin WANG; Zhongkui LİU

Makale detayları

Abelian model structures and Ding homological dimensions

Yazarlar:

Chongqing WEİ | Limin WANG | Zhongkui LİU

Yayıncı:

Hacettepe University

Ana Başlıklar:

Matematik

Dergi:

Hacettepe Journal of Mathematics and Statistics 2016 Vol.45 Issue 5, pp.1461-1474

Belge Tipi:

Makale

Yayın Tarihi:

9/2016

Belge Dili:

İngilizce

Document ID (Org No.):

2000452476

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X

Özet:

 

Let RRR be an nnn-FC ring. For 0<t≤n0<t≤n0<t\leq n, we construct a new abelian model structure on RRR-Mod, called the Ding ttt-projective (ttt-injective) model structure. Based on this, we establish a bijective correspondence between dgdgdg-ttt-projective (dgdgdg-ttt-injective) RRR-complexes and Ding ttt-projective (ttt-injective) AAA-modules under some additional conditions, where A=R[x]/(x2)A=R[x]/(x2)A=R[x]/(x^2). This gives a generalized version of the bijective correspondence established in [14] between dgdgdg-projective (dgdgdg-injective) RRR-complexes and Gorenstein projective (injective) AAA-modules. Finally, we show that the embedding functors K(DP)→KK(DP)→KK(\mathcal{D} \mathcal{P})\rightarrow K (RRR-Mod) and K(DJ)→KK(DJ)→KK(\mathcal{D} \mathcal{J})\rightarrow K (RRR-Mod) have right and left adjoints respectively, where K(DP)K(DP)K(\mathcal{D} \mathcal{P}) (K(DJ)K(DJ)K(\mathcal{D} \mathcal{J})) is the homotopy category of complexes of Ding projective (injective) modules, and KKK (RRR-Mod) denotes the homotopy category. .

Makale detayları

Abelian model structures and Ding homological dimensions

Yazarlar: Chongqing WEİ | Limin WANG | Zhongkui LİU

Yayıncı: Hacettepe University

Ana Başlıklar: Matematik

Dergi: Hacettepe Journal of Mathematics and Statistics 2016 Vol.45 Issue 5, pp.1461-1474

Belge Tipi: Makale

Yayın Tarihi: 9/2016

Belge Dili: İngilizce

Document ID (Org No.): 2000452476

Sıklık: İki Aylık

eISSN: 2651-477X

pISSN: 2651-477X

Sayı

Yazarlar:

Chongqing WEİ | Limin WANG | Zhongkui LİU

Yayıncı:

Hacettepe University

Ana Başlıklar:

Matematik

Dergi:

Hacettepe Journal of Mathematics and Statistics 2016 Vol.45 Issue 5, pp.1461-1474

Belge Tipi:

Makale

Yayın Tarihi:

9/2016

Belge Dili:

İngilizce

Document ID (Org No.):

2000452476

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X