On fuzzy topological subalgebras of BCC-algebras
We describe properties of subalgebras and BCC-ideals in BCC-algebras with a topology induced by a family of fuzzy sets.
On hyper BCC-algebras.
On ideals and congruences in BCC-algebras
We introduce a new concept of ideals in BCC-algebras and describe connections between such ideals and congruences.
On ideals in Hilbert algebras
On imaginable -fuzzy subalgebras and imaginable -fuzzy closed ideals in BCH-algebras.
On maximal ideals of pseudo-BCK-algebras
We investigate maximal ideals of pseudo-BCK-algebras and give some characterizations of them.
On -fold fuzzy implicative/commutative ideals of BCK-algebras.
On -fold fuzzy positive implicative ideals of BCK-algebras.
On pseudo BE-algebras
In this paper, we introduce the notion of pseudo BE-algebra which is a generalization of BE-algebra. We define the concepts of pseudo subalgebras and pseudo filters and prove that, under some conditions, pseudo subalgebra can be a pseudo filter. We prove that every homomorphic image and pre-image of a pseudo filter is also a pseudo filter. Furthermore, the notion of pseudo upper sets in pseudo BE-algebras introduced and is proved that every pseudo filter is an union of pseudo upper sets.
On pseudo-bci ideals of pseudo-bci algebras
On pseudo-BCI-algebras
The notion of normal pseudo-BCI-algebras is studied and some characterizations of it are given. Extensions of pseudo-BCI-algebras are also considered.
On -algebras.
On ()-fuzzy filters of pseudo-BL algebras.
On sensible fuzzy ideals of BCK-algebras with respect to a t-conorm.
On some classes of BCH-algebras.
On the class of QS-algebras.
On the degrees of permutability of subregular varieties
On two classes of pseudo-BCI-algebras
The class of p-semisimple pseudo-BCI-algebras and the class of branchwise commutative pseudo-BCI-algebras are studied. It is proved that they form varieties. Some congruence properties of these varieties are displayed.
Positive implicative ideals of BCK-algebras based on a soft set theory.
Pure filters and stable topology on BL-algebras
In this paper we introduce stable topology and -topology on the set of all prime filters of a BL-algebra and show that the set of all prime filters of , namely Spec() with the stable topology is a compact space but not . Then by means of stable topology, we define and study pure filters of a BL-algebra and obtain a one to one correspondence between pure filters of and closed subsets of Max(), the set of all maximal filters of , as a subspace of Spec(). We also show that for any filter...