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.
ACKNOWLEDGMENTS
The authors would like to express their deep gratitude to the referee for a very careful reading of the paper, and many valuable comments, which have greatly improved the presentation of the article.
Notes
Communicated by Q. Wu