Two-generated graded algebras
Algebra and discrete mathematics, no. 3 (2005), pp. 60-84
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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.