MMN-4473
Some new filters and their properties on BL-algebras
Zahra Parvizi; Somayeh Motamed; Farhad Khaksar Haghani;Abstract
In this paper we introduce the notion of a $\mathrm{DC}$-prime filter in $\mathrm{BL}$-algebras and obtain some theorems in order to determine the relationships between this notion and some types of filters in a \mathrm{BL}$-algebra. By some examples, we show that each of these concepts is different from the other. Also, using the notion of $\mathrm{DC}$-prime filters, a new class of $\mathrm{BL}$-algebras are defined and studied.
Vol. 26 (2025), No. 1, pp. 455-484