2021/04/18 by Surdive Atamewoue Tsafack, Tsafack, Surdive Atamewoue, Arnaud Fobasso Tchinda +6
Chemistry · Computer Science · Decision Sciences · Mathematics · #03B50 #06D99 #Advanced Algebra and Logic #Algebra over a field #Category of rings #Chemistry #Combinatorics #Commutative algebra #Commutative property #Commutative ring #Crystal structure #Crystallography #Discrete valuation ring #FOS: Mathematics #Fuzzy and Soft Set Theory #Generalization #Isomorphism (crystallography) #Local ring #Mathematical analysis #Mathematics #Noncommutative ring #Political science #Principal ideal ring #Pure mathematics #Ring (chemistry) #Ring theory #Rings and Algebras (math.RA) #Rough Sets and Fuzzy Logic #Semiprime ring #Subring #Unitary state #Von Neumann regular ring #math.RA #msc:03B50 #msc:06D99
paper · pdf · doi:10.48550/arxiv.2104.08907
published in arXiv (Cornell University) (Cornell University)
arxiv created 2021/04/18 · openalex publication_date 2021/04/18 · arxiv updated 2021/04/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.