09 فروردین 1403
نجمه دهقاني

نجمه دهقانی

مرتبه علمی: استادیار
نشانی: دانشکده مهندسی سیستم های هوشمند و علوم داده - گروه ریاضی
تحصیلات: دکترای تخصصی / ریاضی
تلفن: 0917 737 2249
دانشکده: دانشکده مهندسی سیستم های هوشمند و علوم داده

مشخصات پژوهش

عنوان
مطالعه ی مدول های درون منظم (یکه)
نوع پژوهش مقالات در همایش ها
کلیدواژه‌ها
Endoregular, Finitely cogenerated, Injective, Strongly endoregular, Unit-endoregular.
پژوهشگران نجمه دهقانی (نفر اول)

چکیده

Von-Neumman regular rings have been extensively studied in the literature. There are various module generalizations of the regular rings. An R-module M is called (strongly, unit-)endoregular if its endomorphism ring is a (strongly, unit-)regular ring, respectively. It is shown that when the strongly endoregular property is inherited by direct summands and direct sums. Besides, we show that semisimple Artinian rings are precisely the ones over which every nitely generated module is (unit-)endoregular. We also give a characterization of rings R whose every finitely cogenerated injective R-module is endoregular. This work is a preliminary report on our going research on this topi