Crossed modules bifibred over k-Algebras

Özgün GÜRMEN ALANSAL; Ummahan EGE ARSLAN

doi:https://doi.org/10.17776/csj.727906

Makale detayları

Crossed modules bifibred over k-Algebras

Yazarlar:

Özgün GÜRMEN ALANSAL | Ummahan EGE ARSLAN

Ana Başlıklar:

Matematik

Dergi:

Cumhuriyet Science Journal 2021 Vol.42 Issue 1, pp.99-114

Belge Tipi:

Makale

Yayın Tarihi:

3/2021

Belge Dili:

İngilizce

Document ID (Org No.):

2000920302

DOI:

https://doi.org/10.17776/csj.727906

Özet:

 

In this paper we examine on a pair of adjoint functors (ϕ^*  ,ϕ_*)for a subcategory of the category of crossed modules over commutative algebras where ϕ_*: XMod/P → XMod/Q, induced, and ϕ^*:XMod/Q → XMod/P, pullback (co-induced), which enables us to move from crossed Q-modules to crossed P-modules by an algebra morphism ϕ : P → Q. We show that this adjoint functor pair (ϕ^*,ϕ_*) makes p∶ XMod → k-Alg into a bi- fibred category over k-Alg, the category of commutative algebras, where p is given by p(C,R,∂) = R. Also, we give some examples and results on induced crossed modules in the case when ϕ is an epimorphism or the inclusion of an ideal. .

Makale detayları

Crossed modules bifibred over k-Algebras

Yazarlar: Özgün GÜRMEN ALANSAL | Ummahan EGE ARSLAN

Ana Başlıklar: Matematik

Dergi: Cumhuriyet Science Journal 2021 Vol.42 Issue 1, pp.99-114

Belge Tipi: Makale

Yayın Tarihi: 3/2021

Belge Dili: İngilizce

Document ID (Org No.): 2000920302

DOI: https://doi.org/10.17776/csj.727906

Sayı

Yazarlar:

Özgün GÜRMEN ALANSAL | Ummahan EGE ARSLAN

Ana Başlıklar:

Matematik

Dergi:

Cumhuriyet Science Journal 2021 Vol.42 Issue 1, pp.99-114

Belge Tipi:

Makale

Yayın Tarihi:

3/2021

Belge Dili:

İngilizce

Document ID (Org No.):

2000920302

DOI:

https://doi.org/10.17776/csj.727906