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Ali Reza Moniri Hamzekolaee

Ali Reza Moniri Hamzekolaee

Academic rank: Assistant Professor
ORCID: https://orcid.org/0000-0002-2852-7870 View this author’s ORCID profile
Education: PhD.
ScopusId: https://www.scopus.com/authid/detail.uri?authorId=55760077600
Faculty: Faculty of Mathematical Sciences
Address: Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran
Phone: 09112136072

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.