This article is cited in 4 papers

Jordanian plane

E. N. Shirikov

M. V. Lomonosov Moscow State University

Abstract: In the 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.

UDC: 512.552+512.712

 English version: Journal of Mathematical Sciences (New York), 2008, 154:2, 270–278

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