Add to ORKGWe give necessary and sufficient conditions on a ring R and an endomorphism σ of R for the skew power series ring R[[x; σ]] to be right duo right Bézout. In particular, we prove that R[[x; σ]] is right duo right Bézout if and only if R[[x; σ]] is reduced right distributive if and only if R[[x; σ]] is right duo of weak dimension less than or equal to 1 if and only if R is N0-injective strongly regular and σ is bijective and idempotent-stabilizing, extending to skew power series rings the Brewer-Rutter-Watkins characterization of commutative B'ezout power series rings
AbstractWe introduce a class of rings we call right Gaussian rings, defined by the property that for...
Abstract. Let R be a prime ring with d a left R–algebraic derivation. All possible left R–algebraic ...
Ore extensions (introduced by Ore [33]) have been one of the most studied non-commutative structure...
We give necessary and sufficient conditions on a ring R and an endomorphism σ of R for the skew powe...
Abstract We give necessary and sufficient conditions on a ring R and an endomorphism σ of R for the ...
AbstractA characterization of right (left) quasi-duo skew polynomial rings of endomorphism type and ...
International audienceA characterization of right (left) quasi-duo skew polynomial rings of endomorp...
In this paper, we prove that if R is an Archimedean reduced ring and satisfy ACC on annihilators, th...
In this paper we show under certain conditions that the skew generalized power series R[[S,w]] is a ...
AbstractIn this paper we show under certain conditions that the skew generalized power series R[[S,w...
AbstractLet R be a ring, S a strictly ordered monoid and ω:S→End(R) a monoid homomorphism. In this p...
AbstractLet R be a ring, S a monoid and ω:S→End(R) a monoid homomorphism. In this paper we prove tha...
summary:A ring $R$ is called a right $\rm PS$-ring if its socle, ${\rm Soc}(R_{R} )$, is projective....
AbstractIn this paper we give sufficient and necessary conditions on a strongly regular ring of coef...
summary:The following results are proved for a ring $A$: (1) If $A$ is a fully right idempotent ring...
AbstractWe introduce a class of rings we call right Gaussian rings, defined by the property that for...
Abstract. Let R be a prime ring with d a left R–algebraic derivation. All possible left R–algebraic ...
Ore extensions (introduced by Ore [33]) have been one of the most studied non-commutative structure...
We give necessary and sufficient conditions on a ring R and an endomorphism σ of R for the skew powe...
Abstract We give necessary and sufficient conditions on a ring R and an endomorphism σ of R for the ...
AbstractA characterization of right (left) quasi-duo skew polynomial rings of endomorphism type and ...
International audienceA characterization of right (left) quasi-duo skew polynomial rings of endomorp...
In this paper, we prove that if R is an Archimedean reduced ring and satisfy ACC on annihilators, th...
In this paper we show under certain conditions that the skew generalized power series R[[S,w]] is a ...
AbstractIn this paper we show under certain conditions that the skew generalized power series R[[S,w...
AbstractLet R be a ring, S a strictly ordered monoid and ω:S→End(R) a monoid homomorphism. In this p...
AbstractLet R be a ring, S a monoid and ω:S→End(R) a monoid homomorphism. In this paper we prove tha...
summary:A ring $R$ is called a right $\rm PS$-ring if its socle, ${\rm Soc}(R_{R} )$, is projective....
AbstractIn this paper we give sufficient and necessary conditions on a strongly regular ring of coef...
summary:The following results are proved for a ring $A$: (1) If $A$ is a fully right idempotent ring...
AbstractWe introduce a class of rings we call right Gaussian rings, defined by the property that for...
Abstract. Let R be a prime ring with d a left R–algebraic derivation. All possible left R–algebraic ...
Ore extensions (introduced by Ore [33]) have been one of the most studied non-commutative structure...