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 deriv...
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| Published in: | Algebra and Discrete Mathematics |
|---|---|
| Date: | 2005 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2005
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/157199 |
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| 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| _version_ | 1862528832828866560 |
|---|---|
| author | Shirikov, E.N. |
| author_facet | Shirikov, E.N. |
| citation_txt | Two-generated graded algebras / E.N. Shirikov // Algebra and Discrete Mathematics. — 2005. — Vol. 4, № 3. — С. 60–84. — Бібліогр.: 8 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | 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.
|
| first_indexed | 2025-11-24T02:43:52Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-157199 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-11-24T02:43:52Z |
| publishDate | 2005 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Shirikov, E.N. 2019-06-19T17:33:27Z 2019-06-19T17:33:27Z 2005 Two-generated graded algebras / E.N. Shirikov // Algebra and Discrete Mathematics. — 2005. — Vol. 4, № 3. — С. 60–84. — Бібліогр.: 8 назв. — англ. 1726-3255 https://nasplib.isofts.kiev.ua/handle/123456789/157199 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. This research was partially supported by RFBR 03-01-00167 grant. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Two-generated graded algebras Article published earlier |
| spellingShingle | Two-generated graded algebras Shirikov, E.N. |
| title | Two-generated graded algebras |
| title_full | Two-generated graded algebras |
| title_fullStr | Two-generated graded algebras |
| title_full_unstemmed | Two-generated graded algebras |
| title_short | Two-generated graded algebras |
| title_sort | two-generated graded algebras |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/157199 |
| work_keys_str_mv | AT shirikoven twogeneratedgradedalgebras |