Some results on semi maximal filters in BL−algebras

Bedrood, Mahta; Hassani Movahed, Asiyeh; Borumand Saeid, Arsham

doi:10.22103/jmmr.2024.23561.1665

Some results on semi maximal filters in BL−algebras

Document Type : Special Issue Dedicated to Prof. Esfandiar Eslami

Authors

Mahta Bedrood ¹

Asiyeh Hassani Movahed ²

Arsham Borumand Saeid ²

¹ Department of Pure Mathematics and Calculations, Faculty of Mathematics, Higher Education Complex of Bam, Kerman, Iran.

² Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran.

10.22103/jmmr.2024.23561.1665

Abstract

In this article, we present an equivalent definition for the concept of the semi maximal filter in $BL-$algebras and some of their properties are studied. At first, we focus on elucidating the relationship between semi maximal filters and minimal prime filters. By conducting this analysis, some classifications for semi maximal filters are given.

Keywords

BL−algebra

(semi maximal

minimal prime) filter

Subjects

Fuzzy Mathematics and Soft Computing

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