Two-generated graded algebras
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...
Saved in:
| Date: | 2005 |
|---|---|
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2005
|
| Series: | Algebra and Discrete Mathematics |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/157199 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| 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. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | 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
of Jordanian plane. |
|---|