Doily as Subgeometry of a Set of Nonunimodular Free Cyclic Submodules
arXiv:1812.01916 · doi:10.3390/axioms8010028
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.
5 pages, 3 figures