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Polynomial Rings Over Symmetric Rings Need Not be Symmetric
Authors:Zhanping Wang  Limin Wang
Institution:1. Department of Mathematics , Northwest Normal University , Lanzhou , China wangzp28@tom.com;3. Department of Mathematics , Northwest Normal University , Lanzhou , China
Abstract:Let R be a ring with identity. The polynomial ring over R is denoted by Rx] with x its indeterminate. It is shown that polynomial rings over symmetric rings need not be symmetric by an example.
Keywords:Polynomial ring  Symmetric ring
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