In this paper, we introduce the theory of Rota–Baxter operators on Clifford semigroups,
useful tools for obtaining dual weak braces, ie, triples (S,+,∘) where (S,+) and (S,∘) are …

We investigate a new algebraic structure which always gives rise to a set-theoretic solution
of the Yang–Baxter equation. Specifically, a weak (left) brace is a non-empty set S endowed …

Abstract The Yang–Baxter and pentagon equations are two well-known equations of
Mathematical Physic. If S is a set, a map s: S * S → S * S s: S× S→ S× S is said to be a set …

In this study, we propose the concept of factorizable ordered hypergroupoids
(semihypergroups) and present several of its properties. Our goal is to construct ordered …

In this paper, we define and study the concept of the factorizable semihypergroup, ie, a
semihypergroup that can be written as a hyperproduct of two proper sub-semihypergroups …

Let Ω be a finite set and T (Ω) be the full transformation monoid on Ω. The rank of a
transformation t∈ T (Ω) is the natural number| Ω t|. Given A⊆ T (Ω), denote by< A> the …

We investigate a new algebraic structure which always gives rise to a set-theoretic solution
of the Yang-Baxter equation. Specifically, a skew (left) inverse semi-brace is a non-empty set …

An inverse semigroup S is factorizable if it can be written as a product of a semilattice and a
group; more generally, S is combinatorially factorizable if it is the product of a combinatorial …

It is well known that the rpp semigroups are generalized regular semigroups. In order to
further investigate the structure of rpp semigroups, we introduce the type-(I, L∗) factorizable …

In this paper, we investigate a class of factorisable IC quasi-adequate semigroups, so-
called, factorisable IC quasi-adequate semigroups of type-(H, I). Some characterizations of …