Turkish Journal of Mathematics
DOI
10.3906/mat-1012-563
Abstract
Let \alpha be a ring endomorphism. Extending the notions of McCoy modules and \alpha-skew McCoy rings, we introduce the notion of \alpha-skew McCoy modules, which can also be regarded as a generalization of \alpha-skew Armendariz modules. A number of illustrative examples are given. Various properties of these modules are developed, and equivalent conditions for \alpha-skew McCoy modules are established. Furthermore, we study the relationship between a module and its polynomial module.
Keywords
\alpha-skew McCoy module; \alpha-skew Armendariz module; \alpha-skew McCoy ring; polynomial module; zip module
First Page
217
Last Page
229
Recommended Citation
CUI, JIAN and CHEN, JIANLONG
(2012)
"On \alpha-skew McCoy modules,"
Turkish Journal of Mathematics: Vol. 36:
No.
2, Article 3.
https://doi.org/10.3906/mat-1012-563
Available at:
https://journals.tubitak.gov.tr/math/vol36/iss2/3
