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    The Some Properties of Skew Polynomial Rings

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    Date
    2016-06
    Author
    Chu, Qianqian
    Jin, Hailan
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    Abstract
    This paper mainly studies some properties of skew polynomial ring related to Morita invariance, Armendariz and (quasi)-Baer. First, we show that skew polynomial ring has no Morita invariance by the counterexample. Then we prove a necessary condition that skew polynomial ring constitutes Armendariz ring. We lastly investigate that condition of skew polynomial ring is a (quasi)-Baer ring, and verify that the conditions is necessary, but not sufficient by example and counterexample.
    URI
    http://dx.doi.org/10.4236/apm.2016.67037
    http://hdl.handle.net/123456789/890
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    • Physics & Mathematics [63]

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