On commutative nilalgebras of low dimension

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

Saved in:
Bibliographic Details
Published in:Algebra and Discrete Mathematics
Date:2010
Main Author: Gutierrez Fernandez, J.C.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2010
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/154497
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:On commutative nilalgebras of low dimension / J.C. Gutierrez Fernandez // Algebra and Discrete Mathematics. — 2010. — Vol. 9, № 1. — С. 16–30. — Бібліогр.: 13 назв. — англ.

Institution

Digital Library of Periodicals of National Academy of Sciences of Ukraine
id nasplib_isofts_kiev_ua-123456789-154497
record_format dspace
spelling Gutierrez Fernandez, J.C.
2019-06-15T16:10:30Z
2019-06-15T16:10:30Z
2010
On commutative nilalgebras of low dimension / J.C. Gutierrez Fernandez // Algebra and Discrete Mathematics. — 2010. — Vol. 9, № 1. — С. 16–30. — Бібліогр.: 13 назв. — англ.
1726-3255
2000 Mathematics Subject Classification:17A05,17A30.
https://nasplib.isofts.kiev.ua/handle/123456789/154497
We prove that every commutative non-associative nilalgebra of dimension ≤7, over a field of characteristic zero or sufficiently large is solvable.
Partially Supported by FAPESP 05/01790-9 and FAPESP 2005/60337-2, Brazil
en
Інститут прикладної математики і механіки НАН України
Algebra and Discrete Mathematics
On commutative nilalgebras of low dimension
Article
published earlier
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
title On commutative nilalgebras of low dimension
spellingShingle On commutative nilalgebras of low dimension
Gutierrez Fernandez, J.C.
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
author Gutierrez Fernandez, J.C.
author_facet Gutierrez Fernandez, J.C.
publishDate 2010
language English
container_title Algebra and Discrete Mathematics
publisher Інститут прикладної математики і механіки НАН України
format Article
description We prove that every commutative non-associative nilalgebra of dimension ≤7, over a field of characteristic zero or sufficiently large is solvable.
issn 1726-3255
url https://nasplib.isofts.kiev.ua/handle/123456789/154497
citation_txt On commutative nilalgebras of low dimension / J.C. Gutierrez Fernandez // Algebra and Discrete Mathematics. — 2010. — Vol. 9, № 1. — С. 16–30. — Бібліогр.: 13 назв. — англ.
work_keys_str_mv AT gutierrezfernandezjc oncommutativenilalgebrasoflowdimension
first_indexed 2025-12-07T21:05:25Z
last_indexed 2025-12-07T21:05:25Z
_version_ 1850885040401022976