The Kronecker-Vahlen theorem fails in real quadratic norm-Euclidean fields

Maksim Vaskouski, Nikita Kondratyonok. The Kronecker-Vahlen theorem fails in real quadratic norm-Euclidean fields. Journal of Symbolic Computation, 104:134-141, 2021. [doi]

@article{VaskouskiK21,
  title = {The Kronecker-Vahlen theorem fails in real quadratic norm-Euclidean fields},
  author = {Maksim Vaskouski and Nikita Kondratyonok},
  year = {2021},
  doi = {10.1016/j.jsc.2020.04.009},
  url = {https://doi.org/10.1016/j.jsc.2020.04.009},
  researchr = {https://researchr.org/publication/VaskouskiK21},
  cites = {0},
  citedby = {0},
  journal = {Journal of Symbolic Computation},
  volume = {104},
  pages = {134-141},
}