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arXiv · 1812.01916

Doily as Subgeometry of a Set of Nonunimodular Free Cyclic Submodules

Metod Saniga·Edyta Bartnicka
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Abstract

It is shown that there exists a particular associative ring with unity of order 16 such that the relations between nonunimodular 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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Metod Saniga, Edyta Bartnicka. 2018-12-05. Doily as Subgeometry of a Set of Nonunimodular Free Cyclic Submodules. https://doi.org/10.3390/axioms8010028

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