2024 : 5 : 4
Yahya Talebi

Yahya Talebi

Academic rank: Professor
ORCID: https://orcid.org/0000-0003-2311-4628
Education: PhD.
ScopusId:
Faculty: Faculty of Mathematical Sciences
Address: Dep. Math. University of Mazandaran
Phone: 01135302467

Research

Title
DUAL RICKART (BAER) MODULES AND PRERADICALS
Type
JournalPaper
Keywords
Preradical; Dual Rickart module; τ -d-Rickart module; τ -d Baer module.
Year
2023
Journal Journal of Algebraic Systems
DOI
Researchers Samira Asgari ، Yahya Talebi ، Ali Reza Moniri Hamzekolaee

Abstract

In this work, we introduce dual Rickart (Baer) modules via the concept of preradicals. It is shown that W is τ -d-Rickart if and only if W = τ (W)⊕L such that τ (W) is a dual Rickart module. We prove that a module W is τ -d Baer if and only if W is τ -d-Rickart and W satisfies strongly summand sum property for d.s. submodules of W contained in τ (W). Via τ (RR), we characterize right τ -d Baer rings.