BL-rings
O.A. Heubo-kwegna, C. Lele, J.B. Nganou
TL;DR
This paper introduces BL-rings, a new class of commutative rings with ideal lattices structured as BL-algebras, exploring their properties and relationships with established ring classes.
Contribution
It defines BL-rings, characterizes their structure, and investigates their connections to known classes like Baer and Dedekind rings.
Findings
BL-rings have ideal lattices with BL-algebra structure
Characterization of BL-rings in relation to other ring classes
Establishment of properties and connections of BL-rings
Abstract
The main goal of this article is to introduce BL-rings, i.e., commutative rings whose lattices of ideals can be equipped with a structure of BL-algebra. We obtain a description of such rings, and study the connections between the new class and well known classes such as multiplications rings, Baer rings, Dedekind rings.
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Taxonomy
TopicsBiochemical and Structural Characterization · Melanoma and MAPK Pathways · Toxin Mechanisms and Immunotoxins