On commutative nilalgebras of low dimension

On commutative nilalgebras of low dimension

We prove that every  commutative non-associative nilalgebra of dimension \(\leq 7\), over  a field of characteristic zero or sufficiently large  is solvable.

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Bibliographic Details
Date:2018
Main Author: Fernandez, Juan C. Gutierrez
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2018
Subjects:
solvable
commutative
nilalgebra
17A05,17A30
Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/619
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics
id oai:ojs.admjournal.luguniv.edu.ua:article-619
record_format ojs
spelling oai:ojs.admjournal.luguniv.edu.ua:article-6192018-04-04T08:18:32Z On commutative nilalgebras of low dimension Fernandez, Juan C. Gutierrez solvable, commutative, nilalgebra 17A05,17A30 We prove that every  commutative non-associative nilalgebra of dimension \(\leq 7\), over  a field of characteristic zero or sufficiently large  is solvable. Lugansk National Taras Shevchenko University 2018-04-04 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/619 Algebra and Discrete Mathematics; Vol 9, No 1 (2010) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/619/pdf Copyright (c) 2018 Algebra and Discrete Mathematics
institution Algebra and Discrete Mathematics
baseUrl_str
datestamp_date 2018-04-04T08:18:32Z
collection OJS
language English
topic solvable
commutative
nilalgebra
17A05,17A30
spellingShingle solvable
commutative
nilalgebra
17A05,17A30
Fernandez, Juan C. Gutierrez
On commutative nilalgebras of low dimension
topic_facet solvable
commutative
nilalgebra
17A05,17A30
format Article
author Fernandez, Juan C. Gutierrez
author_facet Fernandez, Juan C. Gutierrez
author_sort Fernandez, Juan C. Gutierrez
title On commutative nilalgebras of low dimension
title_short On commutative nilalgebras of low dimension
title_full On commutative nilalgebras of low dimension
title_fullStr On commutative nilalgebras of low dimension
title_full_unstemmed On commutative nilalgebras of low dimension
title_sort on commutative nilalgebras of low dimension
description We prove that every  commutative non-associative nilalgebra of dimension \(\leq 7\), over  a field of characteristic zero or sufficiently large  is solvable.
publisher Lugansk National Taras Shevchenko University
publishDate 2018
url https://admjournal.luguniv.edu.ua/index.php/adm/article/view/619
work_keys_str_mv AT fernandezjuancgutierrez oncommutativenilalgebrasoflowdimension
first_indexed 2025-07-17T10:35:31Z
last_indexed 2025-07-17T10:35:31Z
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