In our paper [3] we built the functor Ext dn S-1A(-; S-1B) in the category A-Alg. Thepurpuse of this paper is to show that if A is a ring not necessary commutative, S a centralmultiplicatively closed subset of A and B a (A-A)-bialgebra, thenT orS-1An (-; SExt -1A(-; S-1B)o-1B) : Alg-S-1A S-1A-Modo : dn Sis an adjunction
The purpose of this paper is to study some results of homological algebra in the category A-Alg (resp. Alg-A) of left (resp. right) A-algebra in the noncommutative case. In this paper A is a subring of B. So the main results of this paper are, if B is a noetherian duo-ring, S a central saturated multiplicatively closed subset of A, S R the set of regular elements of S, " a finitely presented right A-algebra and a (B-A)-bialgebra, then ",
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.