Prime rings with pivotal monomial \(x^n\) (Q1808747)
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scientific article; zbMATH DE number 1369750
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Prime rings with pivotal monomial \(x^n\) |
scientific article; zbMATH DE number 1369750 |
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Prime rings with pivotal monomial \(x^n\) (English)
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3 January 2000
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In this short note, the authors determine the structure of prime rings satisfying a special pivotal monomial. Specifically, they prove that if \(R\) is a prime ring satisfying the property that for each \(r\in R\), \(r^n\) is contained in the right ideal generated by \(r^{n+1}\), where \(n>0\) is fixed, then \(R\) is isomorphic to \(M_k(D)\) for \(D\) a division ring and \(k\leq n\).
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prime rings
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pivotal monomials
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0.7670581340789795
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0.7670581340789795
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