Ore extensions of Baer and p.p.-rings
By C. Hong, Nam Kyun Kim, Tai Keun Kwak. 2000
212 citations recorded by the source corpus.
Abstract We 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.
Subfields: Algebra and Number Theory, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/d846b213d451e4a096589df94a06e71ee27ce072
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In Algebra and Number Theory
In Geometry and Topology
Citations in the corpus
- On Skew Armendariz Rings (2003, background): “Properties of a-rigid rings have been studied in Krempa (1996), Hong et al. (2000), and Hirano (1999).”