Two-generated graded algebras

• Published in: Algebra and Discrete Mathematics
• Date: 2005
• Main Author: Shirikov, E.N.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2005
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/157199
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Two-generated graded algebras / E.N. Shirikov // Algebra and Discrete Mathematics. — 2005. — Vol. 4, № 3. — С. 60–84. — Бібліогр.: 8 назв. — англ.

The paper is devoted to classification of twogenerated 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...