On Projection Invariant Rickart Modules

Document Type : Original Research Articles

Authors
Yaser Maleki 1
Ahmad Moussavi 1
Yeliz Kara 2
1 1 Department of Pure Mathematics, Faculty of Mathematical Sciences, Tarbiat Modares University, Tehran, Islamic Republic of Iran
2 Bursa Uludag University, Faculty of Arts and Science, Department of Mathematics, 16059 Gorukle, Bursa/TURKEY
10.22059/jsciences.2025.379598.1007873
Abstract
This study examined π-Rickart modules, a module-theoretic analog of π-Rickart rings, from the perspective of their endomorphism rings. It is shown that π-Rickart conditions are located between π-e. Baer and p.q.-Baer conditions, and it is established that the corresponding endomorphism ring possesses the appropriate π-Rickart property. Besides, the notion of π-e.AIP modules is presented. Furthermore, connections to the aforementioned concepts of π-Rickart, endo-AIP, and π-e.AIP modules are examined.
Keywords
Baer modules
Rickart ring
Endomorphism rings
Annihilators
Rickart modules
Subjects
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Journal of Sciences, Islamic Republic of Iran
Volume 35, Issue 4
Autumn 2024
Pages 321-328