Doily as subgeometry of a set of nonunimodular free cyclic submodules (Q2306147)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Doily as subgeometry of a set of nonunimodular free cyclic submodules |
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Doily as subgeometry of a set of nonunimodular free cyclic submodules (English)
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20 March 2020
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Summary: In this paper, it is shown that there exists a particular associative ring with unity of order 16 such that the relations between non-unimodular free cyclic submodules of its two-dimensional free left module can be expressed in terms of the structure of the generalized quadrangle of order two. Such a doily-centered geometric structure is surmised to be of relevance for quantum information.
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associative ring with unity
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free cyclic submodules
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generalized quadrangle
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