On Rings Having McCoy-Like Conditions |
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| Authors: | A. Alhevaz M. Habibi |
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| Affiliation: | Faculty of Mathematical Sciences, Department of Pure Mathematics , Tarbiat Modares University , Tehran , Iran |
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| Abstract: | ABSTRACT In this paper, we study the behavior of the couniform (or dual Goldie) dimension of a module under various polynomial extensions. For a ring automorphism σ ∈ Aut(R), we use the notion of a σ-compatible module M R to obtain results on the couniform dimension of the polynomial modules M[x], M[x ?1], and M[x, x ?1] over suitable skew extension rings. |
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| Keywords: | Monoid ring Semicommutative ring Skew polynomial ring Weak Armendariz ring Weak McCoy ring Weak zip ring |
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