A study of BL-algebras by co-zero divisors
Mahta Bedrood, Arsham Borumand Saeid · Journal of algebraic hyperstructures and logical algebras · 2024
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.