On -fold fuzzy implicative/commutative ideals of BCK-algebras.
On -fold fuzzy positive implicative ideals of BCK-algebras.
On naturally ordered semigroups.
On -ideals of groups of divisibility
On orderability of some classes of groupoids.
On orderability of topological groups.
On ordered division rings
Prestel introduced a generalization of the notion of an ordering of a field, which is called a semiordering. Prestel's axioms for a semiordered field differ from the usual (Artin-Schreier) postulates in requiring only the closedness of the domain of positivity under x ↦ xa² for non-zero a, in place of requiring that positive elements have a positive product. Our aim in this work is to study this type of ordering in the case of a division ring. We show that it actually behaves just as in the commutative...
On ordered division rings
Prestel introduced a generalization of the notion of an ordering of a field, which is called a semiordering. Prestel’s axioms for a semiordered field differ from the usual (Artin-Schreier) postulates in requiring only the closedness of the domain of positivity under for nonzero , instead of requiring that positive elements have a positive product. In this work, this type of ordering is studied in the case of a division ring. It is shown that it actually behaves the same as in the commutative...
On ordered filters of implicative semigroups.
On ordered left groups.
On ordered regular semigroups with biggest inverses.
On ordering the groups with nilpotent commutant.
On orthogonally -complete lattice ordered groups
In this paper we prove a theorem of Cantor-Bernstein type for orthogonally -complete lattice ordered groups.
On partially ordered groups of locally finite length
On prime, weakly prime ideals in ordered semigroups.
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.