Positive Implicative Ideals in QI-Algebras

In this article, we design several QI-algebra constructions for a given QI-algebra, and then besides proving several additional properties of ideals in (right distributive) QI-algebras, we introduce the concept of positive implicative ideals in QI-algebras and prove some of its important properties. Also, it was shown that every ideal in a right distributive QI-algebra is a positive implicative ideal in it.

Authors

Publication Details

Journal
Pan-American Journal of Mathematics
Published
2025-04-07
DOI
https://doi.org/10.28919/cpr-pajm/4-8
Primary Topic
Fuzzy and Soft Set Theory
Type
article
Field-Weighted Citation Impact
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article

Positive Implicative Ideals in QI-Algebras

Daniel A. Romano
Pan-American Journal of Mathematics
Fuzzy and Soft Set Theory
article

Positive Implicative Ideals in QI-Algebras

Daniel A. Romano
article en

Abstract

In this article, we design several QI-algebra constructions for a given QI-algebra, and then besides proving several additional properties of ideals in (right distributive) QI-algebras, we introduce the concept of positive implicative ideals in QI-algebras and prove some of its important properties. Also, it was shown that every ideal in a right distributive QI-algebra is a positive implicative ideal in it.

Pan-American Journal of MathematicsVol. 4
Openalex Percentile: Top 92%
Fuzzy and Soft Set Theory
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Positive Implicative Ideals in QI-Algebras — Daniel A. Romano · Pan-American Journal of Mathematics (2025) | TGRS Research Map | TGRS