Add to ORKGAbstract: By a right [left] nearring we mean a triple (N,+, ·) where (N,+) is an ablien group, (N, ·) is a semigroup and (x+ y) · z = x · z + y · z [z · (x+ y) = z · x+ z · y] for all x, y, z ∈ N. A semigroup is said to admit a right [left] nearring structure if there is an operation + on S such that (S,+, ·) is a right [left] nearring or there is an operation + on S0 such that (S0,+, ·) is a right [left] nearring where · is the operation on S and S0, respectively. For a nonempty set X, let G(X), T (X), P (X) and I(X) denote respectively the symmetric group on X, the full transformation semigroup on X, the partial transformation semigroup on X and the 1-1 partial transformation semigroup on X. Our purpose is to characterize when G(X), T (X...
This dissertation provides an elementary proof that every near-ring can be embedded in a near-ring w...
As with groups, one can study the left regular representation of a semigroup. If one considers such...
Abstract. Let N be a 3-prime left near-ring with multiplicative center Z, a (σ, τ)-derivation D on N...
the partial transformation semigroup on a nonempty set X, respectively. The semigroups T (X) and P (...
This work presents new and old constructions of nearrings. Links between properties of the multiplic...
Il is • basie resuh of ring theory th.t lhe seI of endomorphisms of an.belian group is • ring under ...
Il is • basie resuh of ring theory th.t lhe seI of endomorphisms of an.belian group is • ring under ...
In this paper we elaborated the concept that on what conditionsleft almost semigroup (LA-Semigroup),...
This paper gives conditions that guarantee that a near-ring or a semi-group has maximal right, left,...
We determine, up to isomorphism, all those topological nearrings n whose additive groups are the n-d...
The purpose of this paper is to formulate the properties and the structure of near-rings. The defini...
It is well-known that a semigroup is a group if it has a right-identity and right-inverses. A questi...
In view of the facts that the definition of a ring led to the definition of a near- ring, the defini...
As with groups, one can study the left regular representation of a semigroup. If one considers such...
This dissertation provides an elementary proof that every near-ring can be embedded in a near-ring w...
This dissertation provides an elementary proof that every near-ring can be embedded in a near-ring w...
As with groups, one can study the left regular representation of a semigroup. If one considers such...
Abstract. Let N be a 3-prime left near-ring with multiplicative center Z, a (σ, τ)-derivation D on N...
the partial transformation semigroup on a nonempty set X, respectively. The semigroups T (X) and P (...
This work presents new and old constructions of nearrings. Links between properties of the multiplic...
Il is • basie resuh of ring theory th.t lhe seI of endomorphisms of an.belian group is • ring under ...
Il is • basie resuh of ring theory th.t lhe seI of endomorphisms of an.belian group is • ring under ...
In this paper we elaborated the concept that on what conditionsleft almost semigroup (LA-Semigroup),...
This paper gives conditions that guarantee that a near-ring or a semi-group has maximal right, left,...
We determine, up to isomorphism, all those topological nearrings n whose additive groups are the n-d...
The purpose of this paper is to formulate the properties and the structure of near-rings. The defini...
It is well-known that a semigroup is a group if it has a right-identity and right-inverses. A questi...
In view of the facts that the definition of a ring led to the definition of a near- ring, the defini...
As with groups, one can study the left regular representation of a semigroup. If one considers such...
This dissertation provides an elementary proof that every near-ring can be embedded in a near-ring w...
This dissertation provides an elementary proof that every near-ring can be embedded in a near-ring w...
As with groups, one can study the left regular representation of a semigroup. If one considers such...
Abstract. Let N be a 3-prime left near-ring with multiplicative center Z, a (σ, τ)-derivation D on N...