On strongly \(\pi\)-regular rings with involution (Q6585107)
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scientific article; zbMATH DE number 7894523
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On strongly \(\pi\)-regular rings with involution |
scientific article; zbMATH DE number 7894523 |
Statements
On strongly \(\pi\)-regular rings with involution (English)
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9 August 2024
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A ring \(R\) is called is called strongly \(\pi\)-regular if for every \(a\in R\) there exists a positive integer \(n\) such that \(a^n\in Ra^{n+1}\cap a^{n+1}R\). The main aim of the paper is to provide characterizations for strongly \(\pi\)-regular \(\star\)-rings, where \(\star\) is an involution. These are presented in Theorem 2.5.
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strongly \(\pi\)-regular ring
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strongly \(\pi\)-\(\ast\)-regular ring
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involution
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