Title of article :
A study of BL-algebras by co-zero divisors
Author/Authors :
Bedrood ، M. Department of Pure Mathematics and Calculations - Faculty of Mathematics - Higher Education Complex of Bam , Borumand Saeid ، A. Department of Pure Mathematics - Faculty of Mathematics and Computer - Shahid Bahonar University of Kerman
Abstract :
In this paper, we delve into the set of co-zero divisors in a BL−algebra and explore their properties. We used these elements for a new classification of BL−algebras. The main result establishes that the set of all co-zero divisors of a BL−algebra L is precisely the union of all minimal prime filters of L. Additionally, we introduce a special type of minimal prime filters. This new concept is called Z◦−filter and its features are examined. We also analyze the relationship between Z◦−filters and other types of filters in the BL−algebra.
Keywords :
BL , algebras , co , zero divisors , Z◦−Filters
Journal title :
Journal of Algebraic Hyperstructures and Logical Algebras
Journal title :
Journal of Algebraic Hyperstructures and Logical Algebras
