A Study of a Special Semi Maximal Filters in BL−algebras

Motahareh  Atabaki; Mahta Bedrood; Fereshteh Forouzesh

doi:10.18778/0138-0680.2026.06

Authors

Motahareh Atabaki Department of Pure Mathematics and Calculations, Faculty of Mathematics, Higher Education Complex of Bam, Kerman, Iran Author https://orcid.org/0009-0005-1123-2821
Mahta Bedrood University of Salerno, Department of Pure Mathematics, Via Giavanni Paolo Fisciano, Salerno, Italy Author https://orcid.org/0009-0003-9837-9409
Fereshteh Forouzesh Department of Pure Mathematics and Calculations, Faculty of Mathematics, Higher Education Complex of Bam, Kerman, Iran Author https://orcid.org/0000-0003-1914-8390

DOI:

https://doi.org/10.18778/0138-0680.2026.06

Keywords:

\(BL\)-algebra, semi maximal filter, \(J\)-semi maximal filter, \(NJ\)-semi maximal filter

Abstract

In this article, a specific type of semi maximal filters is introduced, which form a lattice structure. These filters are called J- semi maximal and NJ-semi maximal, and their key properties in BL-algebras are analyzed. Additionally, these special filters are compared with other defined filters, particularly semi maximal and maximal filters. The purpose of this article is to provide a new analysis of filters in BL-algebras.

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