AbstractWe investigate Ore extensions of Baer rings and p.p.-rings. Let α be an endomorphism and δ an α-derivation of a ring R. Assume that R is an α-rigid ring. Then (1) R is a Baer ring if and only if the Ore extension R[x;α,δ] is a Baer ring if and only if the skew power series ring R[[x;α]] is a Baer ring, (2) R is a p.p.-ring if and only if the Ore extension R[x;α,δ] is a p.p.-ring
summary:It is shown that a ring $R$ is a $GM$-ring if and only if there exists a complete orthogona...
AbstractA criterion is presented which is easy to check in specific examples and provides informatio...
We describe derivations of several important associative and Lie rings of infinite matrices over gen...
AbstractWe investigate Ore extensions of Baer rings and p.p.-rings. Let α be an endomorphism and δ a...
Let δ be a derivation on R. A ring R is called δ-quasi-Baer (resp. quasi-Baer) if the righ...
In this paper, we consider some properties of rings which are shared by the ring R and the ring T = ...
AbstractA ring R is called (quasi-) Baer if the right annihilator of every (ideal) nonempty subset o...
For a set of endomorphisms $\Sigma := \{\sigma _1,\ldots , \sigma _n\}$ and derivations $\Delta...
We consider a first approach to the notion of Armendariz ring for a skew Poincaré-Birkho-Witt (PBW f...
AbstractMackey and Ornstein proved that if R is a semi-simple ring then the ring of row and column f...
El propósito de este artículo es estudiar las extensiones torcidas de Poincaré-Birkhoff-Witt de ...
AbstractWe give a complete characterization of a certain class of quasi-Baer rings which have a shea...
AbstractLet R be a ring and let R[x] denote the polynomial ring over R. We study relations between t...
AbstractLet R be a prime ring, C its extended centroid and RF (resp. Q) its left (resp. symmetric) M...
ENGLISH : Items that is studied at abstraction algebra basically about set and its operation, and...
summary:It is shown that a ring $R$ is a $GM$-ring if and only if there exists a complete orthogona...
AbstractA criterion is presented which is easy to check in specific examples and provides informatio...
We describe derivations of several important associative and Lie rings of infinite matrices over gen...
AbstractWe investigate Ore extensions of Baer rings and p.p.-rings. Let α be an endomorphism and δ a...
Let δ be a derivation on R. A ring R is called δ-quasi-Baer (resp. quasi-Baer) if the righ...
In this paper, we consider some properties of rings which are shared by the ring R and the ring T = ...
AbstractA ring R is called (quasi-) Baer if the right annihilator of every (ideal) nonempty subset o...
For a set of endomorphisms $\Sigma := \{\sigma _1,\ldots , \sigma _n\}$ and derivations $\Delta...
We consider a first approach to the notion of Armendariz ring for a skew Poincaré-Birkho-Witt (PBW f...
AbstractMackey and Ornstein proved that if R is a semi-simple ring then the ring of row and column f...
El propósito de este artículo es estudiar las extensiones torcidas de Poincaré-Birkhoff-Witt de ...
AbstractWe give a complete characterization of a certain class of quasi-Baer rings which have a shea...
AbstractLet R be a ring and let R[x] denote the polynomial ring over R. We study relations between t...
AbstractLet R be a prime ring, C its extended centroid and RF (resp. Q) its left (resp. symmetric) M...
ENGLISH : Items that is studied at abstraction algebra basically about set and its operation, and...
summary:It is shown that a ring $R$ is a $GM$-ring if and only if there exists a complete orthogona...
AbstractA criterion is presented which is easy to check in specific examples and provides informatio...
We describe derivations of several important associative and Lie rings of infinite matrices over gen...
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