Adjunction and Localization in the Category A-Alg of A-Algebras

Moussa Thiaw, Mohamed Ben Faraj Ben Maaouia

Abstract

In our paper [3] we built the functor Ext dn S-1A(-; S-1B) in the category A-Alg. The purpuse of this paper is to show that if A is a ring not necessary commutative, S a central multiplicatively closed subset of A and B a (A-A)-bialgebra, then
T orS-1A
n (-; SExt -1A(-; S-1B)o-1B) : Alg-S-1A S-1A-Modo : dn Sis an adjunction

Keywords

Adjunction, Localization, Algebra, Functor

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