Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4597406 | Journal of Pure and Applied Algebra | 2009 | 21 Pages |
Abstract
In this paper, we extend various classical results by Armendariz and Steinberg, Fisher, Kaplansky, Martindale, Posner, and Rowen on semiprime PI-rings. We do this by introducing several new generalizations of the class of semiprime PI-rings. For these new classes, some structure theorems are obtained, and connections to arbitrary semiprime rings are made (e.g., a semiprime ring has a largest essentially closed ideal from some of these classes). Numerous examples are provided to illustrate and delimit our results.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Efraim P. Armendariz, Gary F. Birkenmeier, Jae Keol Park,