Fox derivatives and varieties of representations of groups (Q1104406)
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scientific article; zbMATH DE number 4055866
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fox derivatives and varieties of representations of groups |
scientific article; zbMATH DE number 4055866 |
Statements
Fox derivatives and varieties of representations of groups (English)
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1986
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We give answers to two concrete problems in the theory of varieties of group representations. The first of these is connected with the concept of a pure variety. We recall that a variety of group representations over an integral domain K is called pure, if the domains of action of its free representations are torsion-free K-modules. Problem 1. Is the intersection of pure varieties itself pure? The second problem is connected with ordered functions of varieties.
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group algebras
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ideals of identities
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varieties of group representations
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free representations
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pure varieties
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ordered functions
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