Doily as Subgeometry of a Set of Nonunimodular Free Cyclic Submodules
Combinatorics
2019-03-05 v1 Rings and Algebras
Quantum Physics
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.
Keywords
Cite
@article{arxiv.1812.01916,
title = {Doily as Subgeometry of a Set of Nonunimodular Free Cyclic Submodules},
author = {Metod Saniga and Edyta Bartnicka},
journal= {arXiv preprint arXiv:1812.01916},
year = {2019}
}
Comments
5 pages, 3 figures