Abstract
Ring geometry and the geometry of matrices naturally meet at the ring R := K n×n of (n×n)-matrices with entries in a field K (not necessarily commutative). Our aim is to strengthen the interaction between these disciplines. Below we sketch some results from either side, even though not in their most general form, but in a way that is tailored to our needs.
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Translated from Sovremennaya Matematika i Ee Prilozheniya (Contemporary Mathematics and Its Applications), Vol. 74, Proceedings of the International Conference “Modern Algebra and Its Applications” (Batumi, 2010), Part 1, 2011.
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Blunck, A., Havlicek, H. Geometries on σ-Hermitian matrices. J Math Sci 186, 715–719 (2012). https://doi.org/10.1007/s10958-012-1021-y
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DOI: https://doi.org/10.1007/s10958-012-1021-y