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Jordanian plane

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Abstract

In this article, we consider the Jordanian plane over a field of arbitrary characteristic. We describe the prime spectrum, the group of automorphisms, and derivations of the Jordanian plane. We study some properties of valuations of the Jordanian plane. In particular, we prove that all valuations of the division ring of fractions of the Jordanian plane are Abelian.

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Authors and Affiliations

  1. Department of Mechanics and Mathematics, Moscow State University, Moscow, Russia

    E. N. Shirikov

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  1. E. N. Shirikov
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Correspondence to E. N. Shirikov.

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__________

Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 13, No. 2, pp. 217–230, 2007.

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Shirikov, E.N. Jordanian plane. J Math Sci 154, 270–278 (2008). https://doi.org/10.1007/s10958-008-9166-4

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  • DOI: https://doi.org/10.1007/s10958-008-9166-4

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