This article is cited in 11 papers

RESEARCH ARTICLE

Two-generated graded algebras

Evgenij N. Shirikov


Abstract: The paper is devoted to classification of two-generated graded algebras. We show that under some general assumptions there exist two classes of these algebras, namely quantum polynomials and Jordanian plane. We study prime spectrum, the semigroup of endomorphisms and the Lie algebra of derivations of Jordanian plane.

Received: 15.06.2005
Revised: 13.07.2005

Language: English

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