Additivity of multiplicative maps on triangular rings. (Q616394)
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scientific article; zbMATH DE number 5833970
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Additivity of multiplicative maps on triangular rings. |
scientific article; zbMATH DE number 5833970 |
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Additivity of multiplicative maps on triangular rings. (English)
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7 January 2011
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A bijective map \(\sigma\) between rings is called an \(n\)-isomorphism if it satisfies \((x_1x_2\cdots x_n)^\sigma=x_1^\sigma x_2^\sigma\cdots x_n^\sigma\). Analogously one defines \(n\)-multiplicative derivations and \(n\)-elementary maps. Under certain technical restrictions it is shown that these maps are automatically additive on triangular rings.
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\(n\)-isomorphisms
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\(n\)-multiplicative derivations
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\(n\)-elementary maps
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additive maps
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triangular rings
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