On rings with weak property (A) and their extensions
| Autor: | R. K. Sharma, Amit B. Singh |
|---|---|
| Rok vydání: | 2022 |
| Předmět: |
Algebra and Number Theory
Mathematics::Commutative Algebra Computer Science::Information Retrieval Applied Mathematics Astrophysics::Instrumentation and Methods for Astrophysics Computer Science::General Literature Computer Science::Computation and Language (Computational Linguistics and Natural Language and Speech Processing) |
| Zdroj: | Journal of Algebra and Its Applications. 22 |
| ISSN: | 1793-6829 0219-4988 |
| DOI: | 10.1142/s0219498823501128 |
| Popis: | In this paper, we introduce the concept of rings with right (left) weak property (A) which is a generalization of rings with right (left) property (A). A ring [Formula: see text] has right (left) weak property (A) if every finitely generated two-sided ideal [Formula: see text] of [Formula: see text] with [Formula: see text], there exists nonzero [Formula: see text] [Formula: see text] such that [Formula: see text] [Formula: see text]. Further, we study various extensions of rings with weak property (A) including matrix rings, polynomial rings and Ore extensions. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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