Add to ORKGA number of main properties of the commuting regular rings and commuting regular semigroups have been studied in this paper. Some significant results of which will be used for the commutative rings and a necessary and sufficient condition is given for a semigroup to be commuting regular. 1
Let R be a ring. The circle operation is the operation a∘b=a+b−ab, for all a,b∈R. This operation giv...
A semigroup S satisfies PPn, the permutation property of degree n (n≥2) if every product of n elemen...
A semigroup S satisfies PPn, the permutation property of degree n (n≥2) if every product of n elemen...
Abstract. R is called commuting regular ring (resp. semigroup) if for each x; y 2 R there exists a 2...
Abstract—We introduce the notion of commuting regular Γ-semiring and discuss some properties of comm...
We introduce the notion of commuting regular Γ- semiring and discuss some properties of commuting re...
A semigroup S is said to be structurally regular if there exists an ordered pair (n; m) of non-negat...
The notion of pi-regularity is a generalization of von Neumann regularity. In this paper we begin ou...
AbstractThe notion of regularity for semigroups is studied, and it is shown that an unambiguous semi...
In semigroup theory there are certain kinds of band decompositions, which are very useful in the stu...
We consider certain subsets of a semigroup S, defined mainly by conditions involving regularity pres...
A ring R is called regular if for each a € R, there exists an element x € R such that axa = a. R...
Abstract: An element a of a semigroup S is called regular if a = aba for some b ∈ S, and S is called...
Abstracts -regulur semigroups are promotion of -regular semigroups. In the paper we show that a semi...
AbstractDuring the last 55 years there have been many results concerning conditions that force a rin...
Let R be a ring. The circle operation is the operation a∘b=a+b−ab, for all a,b∈R. This operation giv...
A semigroup S satisfies PPn, the permutation property of degree n (n≥2) if every product of n elemen...
A semigroup S satisfies PPn, the permutation property of degree n (n≥2) if every product of n elemen...
Abstract. R is called commuting regular ring (resp. semigroup) if for each x; y 2 R there exists a 2...
Abstract—We introduce the notion of commuting regular Γ-semiring and discuss some properties of comm...
We introduce the notion of commuting regular Γ- semiring and discuss some properties of commuting re...
A semigroup S is said to be structurally regular if there exists an ordered pair (n; m) of non-negat...
The notion of pi-regularity is a generalization of von Neumann regularity. In this paper we begin ou...
AbstractThe notion of regularity for semigroups is studied, and it is shown that an unambiguous semi...
In semigroup theory there are certain kinds of band decompositions, which are very useful in the stu...
We consider certain subsets of a semigroup S, defined mainly by conditions involving regularity pres...
A ring R is called regular if for each a € R, there exists an element x € R such that axa = a. R...
Abstract: An element a of a semigroup S is called regular if a = aba for some b ∈ S, and S is called...
Abstracts -regulur semigroups are promotion of -regular semigroups. In the paper we show that a semi...
AbstractDuring the last 55 years there have been many results concerning conditions that force a rin...
Let R be a ring. The circle operation is the operation a∘b=a+b−ab, for all a,b∈R. This operation giv...
A semigroup S satisfies PPn, the permutation property of degree n (n≥2) if every product of n elemen...
A semigroup S satisfies PPn, the permutation property of degree n (n≥2) if every product of n elemen...