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Yahya Talebi

Yahya Talebi

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

Research

Title
A new approach to (dual) Rickart modules via isomorphisms
Type
JournalPaper
Keywords
annihilator, dual Rickart module, virtually Rickart module
Year
2024
Journal Analele Stiintifice ale Universitatii Ovidius Constanta
DOI
Researchers Samira Asgari ، Yahya Talebi ، Ali Reza Moniri Hamzekolaee

Abstract

The rings discussed in this paper will have an identity element and will be associative. Similarly, unless specified otherwise, all modules will be right modules. A submodule L of V is considered essential in V if it does not contain a nonzero element from an arbitrary nonzero submodule U of V . On the other hand, a submodule W of V is considered small in V if V is not equal to the sum of any proper submodule L of V with W. The module V is hollow, provided each proper submodule is small in V . For a module V and W ≤ V , the notion W ≤⊕ V means W is a direct summand (ds, for short) of V . Note also that Rad(V ) is defined to be the sum of all small submodules of V and Soc(V ) is equal to sum of all simple submodules of V .