Remarks regarding some Algebras of Logic-Reference-Cited by-同舟云学术

Remarks regarding some Algebras of Logic

Published:2023-11-04 Issue:5 Volume:45 Page:8613-8622
ISSN:1064-1246
Container-title:Journal of Intelligent & Fuzzy Systems
language:
Short-container-title:IFS

Author:

Călin Mariana Floricica¹,Flaut Cristina²,Piciu Dana³

Affiliation:

1. Faculty of Psychology and Educational Science, Ovidius University of Constanţa, România

2. Faculty of Mathematics and Computer Science, Ovidius University, Constanţa, România

3. Faculty of Science, University of Craiova, Craiova, România

Abstract

Algebras of Logic deal with some algebraic structures, often bounded lattices, considered as models of certain logics, including logic as a domain of order theory. There are well known their importance and applications in social life to advance useful concepts, as for example computer algebra. Starting from results obtained by Di Nolla and Lettieri in [1], in which they analyzed the structure of finite BL-algebras, in this paper we find properties and give examples of commutative unitary rings R with its set of ideals Id (R) to be a BL-algebra of a given type. Moreover, we present properties of finite rings or rings with a finite number of ideals in their connections with BL-rings.

Publisher

IOS Press

Subject

Artificial Intelligence,General Engineering,Statistics and Probability

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