Crossed modules bifibred over k-Algebras
نویسندگان
چکیده
In this paper we examine on a pair of adjoint functors (ϕ^* ,ϕ_*)for subcategory the category 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 Q-modules P-modules by an algebra morphism ϕ : P Q. We show that functor (ϕ^*,ϕ_*) makes p∶ XMod k-Alg into bi- fibred k-Alg, algebras, p is given p(C,R,∂) = R. Also, give some examples results induced in case when epimorphism or inclusion ideal.
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ژورنال
عنوان ژورنال: Cumhuriyet Science Journal
سال: 2021
ISSN: ['2587-2680', '2587-246X']
DOI: https://doi.org/10.17776/csj.727906