On two questions of F. Szász (Q2714190)
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scientific article; zbMATH DE number 1603996
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On two questions of F. Szász |
scientific article; zbMATH DE number 1603996 |
Statements
12 June 2001
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rings
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direct sums
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direct summands
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ideals
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left multipliers
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On two questions of F. Szász (English)
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The author gives necessary and sufficient conditions for associative rings \(R\) in which the ideal \(nR\) is a ring direct summand of \(R\) for every integer \(n\).NEWLINENEWLINENEWLINEAn element \(a\) of a ring \(R\) is called a left multiplier if there exists an integer \(n\) such that \((a+n)R=0\). The author also gives necessary and sufficient conditions for associative rings in which every element is a left multiplier. This result rectifies a result of \textit{F. Szász} [Acta Sci. Math. 38, 165-166 (1976; Zbl 0336.16023)].
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