Category of nnn-FCP-gr-projective modules with respect to special copresented graded modules

Mostafa AMINI; Driss BENNIS; Soumia MAMDOUHI

doi:https://doi.org/10.24330/ieja.1077596

Makale detayları

Category of nnn-FCP-gr-projective modules with respect to special copresented graded modules

Yazarlar:

Mostafa AMINI | Driss BENNIS | Soumia MAMDOUHI

Yayıncı:

Abdullah HARMANCI

Ana Başlıklar:

Matematik

Dergi:

International Electronic Journal of Algebra 2022 Vol.32 Issue 32, pp.157-175

Belge Tipi:

Makale

Yayın Tarihi:

7/2022

Belge Dili:

İngilizce

Document ID (Org No.):

2000717761

Sıklık:

Aylık

eISSN:

1306-6048

pISSN:

1306-6048

DOI:

https://doi.org/10.24330/ieja.1077596

Özet:

 

Let RRR be a ring graded by a group GGG and n≥1n≥1n\geq1 an integer. We introduce the
notion of nnn-FCP-gr-projective RRR-modules and by using of
special finitely copresented graded modules, we investigate that (1)  there exist some equivalent characterizations of nnn-FCP-gr-projective modules and  graded right modules of nnn-FCP-gr-projective dimension
at most kkk over nnn-gr-cocoherent rings, (2) RRR is right nnn-gr-cocoherent if and only if for every short exact sequence 0→A→B→C→00→A→B→C→00 \rightarrow A\rightarrow B\rightarrow C\rightarrow 0 of graded right RRR-modules, where BBB and CCC are nnn-FCP-gr-projective, it follows that AAA is nnn-FCP-gr-projective if and only if (grgrgr-FCPnFCPn\mathcal{FCP}_{n}, grgrgr-FCP⊥nFCPn⊥\mathcal{FCP}_{n}^{\bot}) is a hereditary cotorsion theory, where grgrgr-FCPnFCPn\mathcal{FCP}_n  denotes the class
of nnn-FCP-gr-projective right modules. Then we examine some of the conditions equivalent to that each right RRR-module is nnn-FCP-gr-projective.

Makale detayları

Category of nnn-FCP-gr-projective modules with respect to special copresented graded modules

Yazarlar: Mostafa AMINI | Driss BENNIS | Soumia MAMDOUHI

Yayıncı: Abdullah HARMANCI

Ana Başlıklar: Matematik

Dergi: International Electronic Journal of Algebra 2022 Vol.32 Issue 32, pp.157-175

Belge Tipi: Makale

Yayın Tarihi: 7/2022

Belge Dili: İngilizce

Document ID (Org No.): 2000717761

Sıklık: Aylık

eISSN: 1306-6048

pISSN: 1306-6048

DOI: https://doi.org/10.24330/ieja.1077596

Sayı

Yazarlar:

Mostafa AMINI | Driss BENNIS | Soumia MAMDOUHI

Yayıncı:

Abdullah HARMANCI

Ana Başlıklar:

Matematik

Dergi:

International Electronic Journal of Algebra 2022 Vol.32 Issue 32, pp.157-175

Belge Tipi:

Makale

Yayın Tarihi:

7/2022

Belge Dili:

İngilizce

Document ID (Org No.):

2000717761

Sıklık:

Aylık

eISSN:

1306-6048

pISSN:

1306-6048

DOI:

https://doi.org/10.24330/ieja.1077596