کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4597406 1336215 2009 21 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Ideal intrinsic extensions with connections to PI-rings
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Ideal intrinsic extensions with connections to PI-rings
چکیده انگلیسی

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.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Pure and Applied Algebra - Volume 213, Issue 9, September 2009, Pages 1756–1776
نویسندگان
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