Add to ORKGA ternary monoid of hypersubstitutions of type ? = (n) is the set Hyp(n) of all hypersubstitutions of type ? = (n) with a ternary operation which satis es the associative law, and has the identity element ?id . For n = 2 , the idempotent and regular elements, the ideals of submonoids and some algebraic-properties of this monoid were studied by author. In this present paper, we study the algebraic-structural properties of Hyp(n), n > 2 and characterize the idempotent and regular elements. In particular, we describe the relationships between some submonoids of this monoid under the ideal of this submonoids
An EQ-monoid A is a monoid with distinguished subsemilattice L with 1 2 L and such that any a, b 2 A...
Let $\mathscr{T}_n(F)$ denote the submonoid of all upper triangular $n\times n$ matrices over a fini...
We study the lattice of varieties of monoids, i.e., algebras with two operations, namely, an associa...
In Universal Algebra, identities are used to classify algebras into collec-tions, called varieties a...
A generalized hypersubstitution of type τ = (n) is a function which takes the n-ary operation symbol...
In this paper we consider mappings σ which map the binary operation symbol f to the term σ (f) which...
The concept of regular subsemigroups plays an important role in the theory of semigroup. In this wor...
The purpose of this paper is to characterize M-strongly solid monoids of generalized hypersubstituti...
A generalized hypersubstitution of type τ = (ni)i∈I is a mapping σ which maps every operation symbol...
An nd-full hypersubstitution maps any operation symbols to the set of full terms of type τn. Nd-full...
A generalized cohypersubstitution of type τ is a mapping σ which maps every ni-ary cooperation symbo...
Factorizable inverse monoids constitute the algebraic theory of those partial symmetries which are r...
In this paper, we define the ternary operations and their properties. These ternary operations are u...
For a monoid M, we denote by G(M) the group of units, E(M) the submonoid generated by the idempotent...
Any relational hypersubstitution for algebraic systems of type (τ, τ′) = ((mi)i∈I , (nj )j∈J ) is a ...
An EQ-monoid A is a monoid with distinguished subsemilattice L with 1 2 L and such that any a, b 2 A...
Let $\mathscr{T}_n(F)$ denote the submonoid of all upper triangular $n\times n$ matrices over a fini...
We study the lattice of varieties of monoids, i.e., algebras with two operations, namely, an associa...
In Universal Algebra, identities are used to classify algebras into collec-tions, called varieties a...
A generalized hypersubstitution of type τ = (n) is a function which takes the n-ary operation symbol...
In this paper we consider mappings σ which map the binary operation symbol f to the term σ (f) which...
The concept of regular subsemigroups plays an important role in the theory of semigroup. In this wor...
The purpose of this paper is to characterize M-strongly solid monoids of generalized hypersubstituti...
A generalized hypersubstitution of type τ = (ni)i∈I is a mapping σ which maps every operation symbol...
An nd-full hypersubstitution maps any operation symbols to the set of full terms of type τn. Nd-full...
A generalized cohypersubstitution of type τ is a mapping σ which maps every ni-ary cooperation symbo...
Factorizable inverse monoids constitute the algebraic theory of those partial symmetries which are r...
In this paper, we define the ternary operations and their properties. These ternary operations are u...
For a monoid M, we denote by G(M) the group of units, E(M) the submonoid generated by the idempotent...
Any relational hypersubstitution for algebraic systems of type (τ, τ′) = ((mi)i∈I , (nj )j∈J ) is a ...
An EQ-monoid A is a monoid with distinguished subsemilattice L with 1 2 L and such that any a, b 2 A...
Let $\mathscr{T}_n(F)$ denote the submonoid of all upper triangular $n\times n$ matrices over a fini...
We study the lattice of varieties of monoids, i.e., algebras with two operations, namely, an associa...