Abstract
We show that the set of all (unimodular and non-unimodular) free cyclic submodules of T 2, where T is the ring of ternions over a commutative field, admits a point model in terms of a smooth algebraic variety.
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Acknowledgements
This work was carried out within the framework of the Scientific and Technological Cooperation Poland-Austria 2010–2011. The authors wish to thank Andrzej Matraś (Olsztyn) for his useful remarks in the course of numerous vivid discussions.
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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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Havlicek, H., Kosiorek, J. & Odehnal, B. A Point Model for the Free Cyclic Submodules over Ternions. Results. Math. 63, 1071–1078 (2013). https://doi.org/10.1007/s00025-012-0253-y
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DOI: https://doi.org/10.1007/s00025-012-0253-y