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- Title
Skew McCoy rings and σ-compatibility.
- Authors
Lee, Kyu Sang
- Abstract
In this paper, we study σ -skew McCoy rings under the σ -compatible or the σ -semicompatible conditions. We show that if R is a semicommutative right or left artinian ring which is σ -semicompatible with an epimorphism σ , then the Jacobson radical J (R) is σ -skew McCoy. As a corollary, we get that the Jacobson radical of a semicommutative artinian ring is right McCoy. We also show that every σ -compatible right duo ring is σ -skew McCoy and that for σ -compatible regular rings, the notions of the σ -skew McCoy and the right McCoy coincide. In addition, we show that every σ -semicompatible semicommutative ring is linearly σ -skew Camillo and that every matrix ring over a division ring is linearly σ -skew Camillo for any endomorphism σ.
- Subjects
JACOBSON radical; MATRIX rings; ARTIN rings; ENDOMORPHISM rings; DIVISION rings; ENDOMORPHISMS
- Publication
Journal of Algebra & Its Applications, 2024, Vol 23, Issue 2, p1
- ISSN
0219-4988
- Publication type
Article
- DOI
10.1142/S0219498824500312