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Zero Divisors in Skew Power Series Rings
Authors:Tai Keun Kwak  Yang Lee
Affiliation:1. Department of Mathematics , Daejin University , Pocheon , South Korea tkkwak@daejin.ac.kr;3. Department of Mathematics , Pusan National University , Pusan , South Korea
Abstract:
We study the rigid property of rings in the concrete, via power series rings, matrix rings, and Insertion-of-Factors-Property. In the procedure, we concentrate our attention on the skew power-serieswise Armendariz property. We next apply the McCoy condition to skew power series rings, which induces a generalization of skew power-serieswise Armendariz. The relationship is investigated among the properties above and related ring properties, and several known results are obtained as consequences of our results.
Keywords:Rigid ring  Skew Armendariz property  Skew McCoy condition  Skew triangular matrix ring
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