On a non-commutative Generalization of Lukasiewicz rings
Logic
2015-02-10 v2 Rings and Algebras
Abstract
The goal of the present article is to extend the study of commutative rings whose ideals form an MV-algebra as carried out by Belluce and Di Nola to non-commutative rings. We study and characterize all rings whose ideals form a pseudo MV-algebra, which shall be called here generalized Lukasiewicz rings. We obtain that these are (up to isomorphism) exactly the direct sums of unitary special primary rings.
Keywords
Cite
@article{arxiv.1410.2617,
title = {On a non-commutative Generalization of Lukasiewicz rings},
author = {J. B. Nganou and C. Lele and A. Kadji},
journal= {arXiv preprint arXiv:1410.2617},
year = {2015}
}
Comments
18 pages