Hiba F. Fayoumi

activity

20202025

collaborators

4 papers

math.RA2025

A triple construction on $d$ -algebras

Hiba F. Fayoumi, Akbar Rezaei

In this note, we consider a triple construction $(\ad;\star,ε(0))$ on a $d$ -algebra $(A; *, 0)$ and investigate some of their properties. Applying this construction to a $d$ -trans…

math.GR2023

Right Feeble Groups

Hiba F. Fayoumi, Hee Sik Kim

Right feeble groups are defined as groupoids $(X, *)$ such that (i) $x, y \in X$ implies the existence of $a, b \in X$ such that $a * x = y$ and $b * y = x$ . Furthermore, (ii) if $x, y,…

math.RA2020

Groupoid Factorizations in the Semigroup of Binary Systems

Hiba F. Fayoumi

Let $(X, ∙)$ be a groupoid (binary algebra) and $B in (X) ˙$ denote the collection of all groupoids defined on $X$ . We introduce two methods of factorization for this binar…

math.RA2020

Locally-zero Groupoids and the Center of Bin(X)

Hiba F. Fayoumi

In this paper we introduce the notion of the center $Z B in (X)$ in the semigroup $B in (X)$ of all binary systems on a set $X$ , and show that if $(X, ∙) \in Z B in (X)$ , then $x\not=y…

A triple construction on d-algebras

Right Feeble Groups

Groupoid Factorizations in the Semigroup of Binary Systems

Locally-zero Groupoids and the Center of Bin(X)

A triple construction on $d$ -algebras