DUAL RICKART (BEAR) MODULES AND PRERADICALS

نویسندگان
Asgari, Samira ID 1
Talebi, Yahya ID 2
Moniri Hamzekolaee, Ali Reza ID 3

1 Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran

2 Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran

3 Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran.

doi
10.22044/jas.2023.12207.1641
چکیده

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 Wsatis es strongly summand sum property for d.s. submodules of Wcontained in  (W). Via  (RR), we characterize right  -d Baer rings.

کلیدواژه‌ها
preradical, dual Rickart module,  -d Rickart module,  -d Baer module