Functors <img width="72" height="53" src="http://article.sciencepublishinggroup.com/journal/347/3471098/image001.png" />, <img width="165" height="53" src="http://article.sciencepublishinggroup.com/journal/347/3471098/image002.png" />, <img width="103" height="53" src="http://article.sciencepublishinggroup.com/journal/347

Abstract

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 ",