Volume 5, Issue 1, February 2019, Page: 1-9
Functors , , and in the Category of A - Alg
Moussa Thiaw, UFR of Applied Sciences and Technology, Gaston Berger University, Saint-Louis, Senegal
Mohamed Ben Faraj Ben Maaouia, UFR of Applied Sciences and Technology, Gaston Berger University, Saint-Louis, Senegal
Mamadou Sanghare, Department of Mathematics, Faculty of Science and Technology, Cheikh Anta Diop University, Dakar, Senegal
Received: Feb. 18, 2019;       Accepted: Mar. 26, 2019;       Published: Apr. 18, 2019
DOI: 10.11648/j.ijtam.20190501.11      View  41      Downloads  11
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, SR the set of regular elements of S, a finitely presented right A-algebra and a (B-A)-bialgebra, then is isomorphic to , also is isomorphic to , for any integer n.
Keywords
Algebra, Multiplicatively Closed Subset, Ore Condition of Multiplicatively Closed Subset, Localized, Category, Functor, Complex Projective Resolution
To cite this article
Moussa Thiaw, Mohamed Ben Faraj Ben Maaouia, Mamadou Sanghare, Functors , , and in the Category of A - Alg, International Journal of Theoretical and Applied Mathematics. Vol. 5, No. 1, 2019, pp. 1-9. doi: 10.11648/j.ijtam.20190501.11
Copyright
Copyright © 2019 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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