Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4662908 | Journal of Applied Logic | 2016 | 13 Pages |
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 [1] to non-commutative rings. We study and characterize all rings whose ideals form a pseudo MV-algebra, which shall be called here generalized Łukasiewicz rings. We obtain that these are (up to isomorphism) exactly the direct sums of unitary special primary rings.
Related Topics
Physical Sciences and Engineering
Mathematics
Logic
Authors
Albert Kadji, Celestin Lele, Jean B. Nganou,