Weakly Prime and Super-max Filters in Bl-algebras
Year: 2023
Type: article
Abstract: In this paper, the concepts of weakly prime filters and super-max filters in $\mathrm{BL}$-algebras are introduced, and the relationships between them are discussed. Also, some properties and relations between these filters and other types of filters in $\mathrm{BL}$-algebras are given. With some examples, it is shown that these filters have differences. After that, the notions of weakly linear $\mathrm{BL}$-algebras and weak top $\mathrm{BL}$-algebras are defined and investigated. Finally, using the notion of a weakly prime filter, a new topology on $\mathrm{BL}$-algebras is defined and studied.
Authors: Javad Moghaderi, Somayeh Motamed
Institutions: University of Hormozgan, Islamic Azad University Bandar Abbas
Language: English
Topic: Advanced Algebra and Logic
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7164530348