作者
S Asgari, Y Talebi, AR Moniri Hamzekolaee
发表日期
2024/6/1
期刊
Analele ştiinţifice ale Universităţii" Ovidius" Constanţa. Seria Matematică
卷号
32
期号
2
页码范围
5-18
简介
In the past few decades, researchers have found that studying modules using endomorphisms is a powerful and useful tool. This has led to valuable works in this field. Recently, the study of (dual) Rickart modules has become an important approach as they are deeply connected to endomorphisms. Building on this work, the authors introduce a new perspective on (dual) Rickart modules using isomorphism. We also define virtually (dual) Rickart modules. It is shown that rings with all modules virtually Rickart are semisimple rings. The paper includes various examples to illustrate the concepts presented.
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S Asgari, Y Talebi, ARM Hamzekolaee - Analele ştiinţifice ale Universităţii" Ovidius" Constanţa …, 2024