Categorical investigation of -graded -algebras
Centralizer near-rings acting on SE-groups.
Centralizer near-rings determined completely regular inverse semigroups.
Centralizers and the isomorphism problem for nearrings.
Certain near-rings are rings. II.
Chain conditions on semirings.
Characteristic of M-polysymmetrical Hyperrings and some properties of M-Polysymmetrical Hyperrings with Unity
Characterization of Regular Semirings
Characterizations of projective and -projective semimodules.
Clifford semifields
It is well known that a semigroup S is a Clifford semigroup if and only if S is a strong semilattice of groups. We have recently extended this important result from semigroups to semirings by showing that a semiring S is a Clifford semiring if and only if S is a strong distributive lattice of skew-rings. In this paper, we introduce the notions of Clifford semidomain and Clifford semifield. Some structure theorems for these semirings are obtained.
Combinatorial Structures in Loops.
Commutative parasemifields finitely generated as semirings
Commutative semigroups that are simple over thein endomorphism semirings
Commutative semigroups with almost transitive endomorphism semirings
Commutative semigroups with few fully invariant congruences I.
Commutative semigroups with few fully invariant congruences II.
Commutativity of prime -near rings with --derivation.
Completely positive matrices over Boolean algebras and their CP-rank
Drew, Johnson and Loewy conjectured that for n ≥ 4, the CP-rank of every n × n completely positive real matrix is at most [n2/4]. In this paper, we prove this conjecture for n × n completely positive matrices over Boolean algebras (finite or infinite). In addition,we formulate various CP-rank inequalities of completely positive matrices over special semirings using semiring homomorphisms.
Completeness criteria and invariants for operation and transformation algebras.
Compositions on the ring of polynomials in two indeterminates.