Journal of Hyperstructures
Volume:7 Issue: 2, Summer and Autumn 2018

In this paper we dene the notion of a hyper BCK val- ued function on a set and investigate some of it's related properties as Y.B. Jun, S.Z. Song and C. Flaut have done for a BCK-algebras. We construct the codes generated by a hyper BCK valued function and provide an algorithm which allow to nd a hyper BCK-algebra starting from a given binary block code. Moreover we establish the link between the hyper BCK-algebra constructed from a binary block code and hyper BCK-ideal on a hyper BCK-algebra.

In this paper we introduce the notion of quotient BRK- algebras and also investigate the properties of these algebras. Fur- ther we establish rst isomorphism theorem for the special subclass of BRK-algebras namely anti-symmetric BRK-algebras.

A topological polygroup where every open subset is a complete part is called OCP-polygroup. Dierent uniform struc- tures are built on OCP-polygroups as well as on their quotients and studied some related results including Roelcke uniformity.

In [12,13] Mostafa et al. applied the hyper structuretheory to KU-algebras,introduced the concept of hyper KU-algebras, which is a generalization of KU-algebras. In this paper,some properties of fuzzy dot (s-weak-strong) hyper KU-ideals inhyper KU-algebras are given,discussed the relations amongthem.

A simple algorithm is applied in this paper to solve the conformable time fractional reaction-diusion-convection prob- lem (CTFRDCP) with varriable coecients. The aim of applying this algorithm is to overcome the inability of the dierential trans- form method to solve such problems. The dierential transform method is implemented twice. Once with initial condition, again with boundary conditions. A convex combination of two solutions is considered as solution of the problem.

This paper is a bridging among soft set theory, set theory and AG-groups, in which soft intersection AG-group (abbreviated by soft int-AG-group) is dened and investigated. The concept of soft int-AG-group is further extended to dene the notions of conjugates soft int-AG-group, normal soft int-AG-group, e-set and -inclusion of soft int-AG-groups. Various properties of these notions are investigated and supported by relevant examples that are produced by GAP.

The concepts of compact and weakly compact opera- tors on Banach spaces are considered and investigated in several papers. In this paper, taking idea from this notations, we consider the concept surjective compact and weakly compact operators on Banach lattices. In particular, we characterize Banach lattices on which operators must be surjective.