Aspects on weak, s-CS and almost injective rings
Nasr Zeyada, Amr Amin
TL;DR
This paper investigates properties of weak, s-CS, and almost injective rings, providing new results and positive answers to longstanding questions about their structure and relationships, especially regarding right CF-rings.
Contribution
It offers new insights into weak, s-CS, and almost injective rings, including positive results on right CF-rings being right artinian in specific cases.
Findings
Right CF-rings are right artinian for weak CS and GC2 rings.
New results on the structure of almost injective rings.
Positive answers to open questions about ring properties.
Abstract
It is not known whether right CF-rings (FGF-rings) are right artinian (quasi-Frobenius). This paper gives a positive answer of this question in the case of weak CS (s-CS) and GC2 rings. Also we get some new results on almost injective rings.
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Taxonomy
TopicsRings, Modules, and Algebras · Algebraic structures and combinatorial models · Advanced Topics in Algebra