Independence spaces and uniform modules (Q1088993)
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scientific article; zbMATH DE number 4002111
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Independence spaces and uniform modules |
scientific article; zbMATH DE number 4002111 |
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Independence spaces and uniform modules (English)
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1985
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It is shown that an independence structure can be defined in a natural way on the set of uniform submodules of a module. Such an independence structure is modular. Thus, if it is connected and of rank at least three, it is a projective geometry coordinatizable over a division ring, of which we give a construction in terms of the module elements.
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independence structure
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module
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projective geometry
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