On a-skew McCoy modules
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.
Anahtar Kelimeler:
a-skew McCoy module; a-skew Armendariz module; a-skew McCoy ring; polynomial module; zip module
On a-skew McCoy modules
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.
Keywords:
a-skew McCoy module; a-skew Armendariz module; a-skew McCoy ring; polynomial module; zip module,
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- an endomorphism deŞned by α((a b)) = a ring and the endomorphism α : R a−b a By [3, Example 7], RRis α -skew McCoy. Let R2be a → R2both as deŞned in Proposition 2.20. Write M = R. Then M is α -skew McCoy as an R2-module also by Proposition 2.20. Nevertheless, M is not W- α -compatible. Indeed, for A = (0 1) (1 0) 0 1 (0 0) (0 1) 0 0 −1 0 (0 0) 0 −1 0
- ISSN: 1300-0098
- Yayın Aralığı: Yılda 6 Sayı
- Yayıncı: TÜBİTAK
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