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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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Main Author: Shirikov, Evgenij N.
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2018
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Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/929
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spelling oai:ojs.admjournal.luguniv.edu.ua: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
institution Algebra and Discrete Mathematics
collection OJS
language English
topic

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Shirikov, Evgenij N.
Two-generated graded algebras
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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
work_keys_str_mv AT shirikovevgenijn twogeneratedgradedalgebras
first_indexed 2024-04-12T06:25:29Z
last_indexed 2024-04-12T06:25:29Z
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