In this paper, a new topic about a vast class of subsets of semigroups and binary systems,
which contains all ideals, periodic subsets and sub-semigroups, is introduced and studied …

We introduce and study an algebraic structure, namely “GROUPLIKE”. A GROUPLIKE is
something between semigroup and group and its axioms are generalizations of the four …

DECOMPOSER FUNCTION al equations were introduced by the author and have been
completely solved on arbitrary groups. Their solutions are as DECOMPOSER FUNCTION s …

Recently, a new algebraic structure, namely grouplike, has been introduced and studied by
the first author. A grouplike is something between semigroup and group with so close …

The b-parts of real numbers and the generalized division algorithm were considered and
discussed in [3]. Also some of their algebraic properties have been studied in [4]. In this …

The b-parts of real numbers were introduced and studied in [4], and b-addition of real
numbers in [3]. The b-parts have many interesting number theoretic explanations, analytic …

Grouplikes have been introduced and studied by the first author. A grouplike is something
between semigroup and group and its axioms are generalizationof the four group axioms …

The purpose of the paper is to deal with functions on an Abelian group (G,+) which satisfy
the following composite functional equation: for almost all pairs (x, y)∈ G× G. The concept of …

In this paper we give a characterization for all semigroups whose square is a group.
Moreover, we axiomatize such semigroups and study some relations between the class of …

By left magma-$ e $-magma, I mean a set containingthe fixed element $ e $, and equipped
by two binary operations" $ cdot $", $ odot $ with the property $ eodot (xcdot y)= eodot …