Remarks regarding some Algebras of Logic

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. Start...

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Bibliographic Details
Published in:Journal of intelligent & fuzzy systems 2023-11, Vol.45 (5), p.8613-8622
Main Authors: Călin, Mariana Floricica, Flaut, Cristina, Piciu, Dana
Format: Article
Language:English
Subjects:
Computer algebra
Lattices
Logic
Rings (mathematics)
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Summary: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.
ISSN:1064-1246
1875-8967
DOI:10.3233/JIFS-232815