Journals / Turkish Journal of Mathematics / 2012 / Cilt: 36 - Sayı: 2
On a-skew McCoy modules
- Pages
- 217–229
- DOI
- —
Abstract
Let a be a ring endomorphism. Extending the notions of McCoy modules and a-skew McCoy rings, we introduce the notion of a-skew McCoy modules, which can also be regarded as a generalization of a-skew Armendariz modules. A number of illustrative examples are given. Various properties of these modules are developed, and equivalent conditions for a-skew McCoy modules are established. Furthermore, we study the relationship between a module and its polynomial module.
Özet
Let a be a ring endomorphism. Extending the notions of McCoy modules and a-skew McCoy rings, we introduce the notion of a-skew McCoy modules, which can also be regarded as a generalization of a-skew Armendariz modules. A number of illustrative examples are given. Various properties of these modules are developed, and equivalent conditions for a-skew McCoy modules are established. Furthermore, we study the relationship between a module and its polynomial module.