Dual Rickart (Baer) modules and preradicals
عنوان مقاله: Dual Rickart (Baer) modules and preradicals
شناسه ملی مقاله: JR_JAS-12-1_012
منتشر شده در در سال 1403
شناسه ملی مقاله: JR_JAS-12-1_012
منتشر شده در در سال 1403
مشخصات نویسندگان مقاله:
Samira Asgari - Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran
Yahya Talebi - Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran
Ali Reza Moniri Hamzekolaee - Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran.
خلاصه مقاله:
Samira Asgari - Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran
Yahya Talebi - Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran
Ali Reza Moniri Hamzekolaee - Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran.
In this work, we introduce dual Rickart (Baer) modules via the con-cept of preradicals. It is shown that W is -d Rickart if and only ifW = (W) L such that (W) is a dual Rickart module. We provethat a module W is -d Baer if and only if W is -d Rickart and Wsatises strongly summand sum property for d.s. submodules of Wcontained in (W). Via (RR), we characterize right -d Baer rings.
کلمات کلیدی: preradical, dual Rickart module, -d Rickart module, -d Baer module
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1696081/