A non commutative generalization BL-rings
Rings and Algebras
2021-04-20 v1
Abstract
The purpose of this work is to extend the study of the commutative rings whose lattice of ideals can be a structure of BL-algebra as carry out by Heubo et al in 2018, to non commutative rings appointed in the work as pseudo BL-rings. We study and characterize rings whose ideals form a pseudo BL-algebra, we describe them in terms of their subdirectly irreductible factors. We obtain that these are (up to isomorphism) to a subring of a direct sums of unitary special primary rings and discrete valuation ring.
Cite
@article{arxiv.2104.08907,
title = {A non commutative generalization BL-rings},
author = {Surdive Atamewoue Tsafack and Arnaud Fobasso Tchinda and Yuming Feng and Selestin Ndjeya},
journal= {arXiv preprint arXiv:2104.08907},
year = {2021}
}