Two-generated graded algebras
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 o...
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| Datum: | 2018 |
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| Format: | Artikel |
| Sprache: | English |
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Lugansk National Taras Shevchenko University
2018
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| Online Zugang: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/929 |
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admjournalluguniveduua-article-9292018-03-21T06:47:49Z Two-generated graded algebras Shirikov, Evgenij N. 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. Lugansk National Taras Shevchenko University 2018-03-21 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/929 Algebra and Discrete Mathematics; Vol 4, No 3 (2005) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/929/458 Copyright (c) 2018 Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics |
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| datestamp_date |
2018-03-21T06:47:49Z |
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OJS |
| language |
English |
| topic |
|
| spellingShingle |
Shirikov, Evgenij N. Two-generated graded algebras |
| topic_facet |
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| format |
Article |
| author |
Shirikov, Evgenij N. |
| author_facet |
Shirikov, Evgenij N. |
| author_sort |
Shirikov, Evgenij N. |
| title |
Two-generated graded algebras |
| title_short |
Two-generated graded algebras |
| title_full |
Two-generated graded algebras |
| title_fullStr |
Two-generated graded algebras |
| title_full_unstemmed |
Two-generated graded algebras |
| title_sort |
two-generated graded algebras |
| description |
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. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2018 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/929 |
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AT shirikovevgenijn twogeneratedgradedalgebras |
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2025-12-02T15:43:38Z |
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2025-12-02T15:43:38Z |
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1850411810230894592 |