This article is cited in 8 papers

The Jordan Plane over a Field of Positive Characteristic

E. N. Shirikov

M. V. Lomonosov Moscow State University

Abstract: The primary spectrum and the automorphism group of the Jordan plane over a field of nonzero characteristic are described. The problem of extending a prime ideal of the center of the Jordan plane to a primary ideal of the entire algebra is considered.

Keywords: Jordan plane, primary ideal, minimal polynomial, prime ideal, automorphism group, completely primary ideal.

UDC: 512.552

Received: 21.02.2006
Revised: 20.09.2006

DOI: 10.4213/mzm3796

 English version: Mathematical Notes, 2007, 82:2, 238–256

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