Generalized morphisms of Abelian \(m\)-ary groups (Q2773031)
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scientific article; zbMATH DE number 1709159
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Generalized morphisms of Abelian \(m\)-ary groups |
scientific article; zbMATH DE number 1709159 |
Statements
24 March 2002
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\(n\)-ary groups
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homomorphisms
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\((m,n)\)-rings
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endomorphisms
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0.9043381
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Generalized morphisms of Abelian \(m\)-ary groups (English)
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It is proved that the set of all \(n\)-ary endomorphisms of an Abelian \(m\)-ary group forms an \((m,n)\)-ring, where the \(n\)-ary product of \(n\)-ary homomorphisms is defined in the same way as the composition of \(m\)-ary permutations.
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