%0 Journal Article %T Doily as Subgeometry of a Set of Nonunimodular Free Cyclic Submodules %A Edyta Bartnicka %A Metod Saniga %J - %D 2019 %R https://doi.org/10.3390/axioms8010028 %X Abstract 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. View Full-Tex %K associative ring with unity %K free cyclic submodules %K generalized quadrangle %U https://www.mdpi.com/2075-1680/8/1/28