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- Title
On a Generalization of δ-Armendariz Rings.
- Authors
Sahebi, Shervin; Deldar, Mansoureh
- Abstract
For a derivation δ of a ring R, we introduce the δ-McCoy rings which are a generalization of the δ-Armendariz rings, and investigate their properties. Some properties of this generalization are established, and connections of properties of a δ-McCoy ring R with n ⨰ n upper triangular T(R, n, σ) are investigated. We study relationship between the δ-McCoy property of R and its polynomial ring, R[x]. We also prove that every ring isomorphism preserves δ-McCoy structure. As a consequence we extend and unify several known results related to McCoy rings.
- Subjects
ISOMORPHISM (Mathematics); POLYNOMIAL rings; FREE algebras
- Publication
Palestine Journal of Mathematics, 2019, Vol 8, Issue 1, p299
- ISSN
2219-5688
- Publication type
Article