Normal automorphisms of the metabelian product of free abelian Lie algebras

Let \(M\) be the metabelian product of free abelian Lie algebras of finite rank. In this study we prove that every normal automorphism of \(M\) is an IA-automorphism and acts identically on \(M'\).

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Бібліографічні деталі
Дата:2021
Автор: Öğüşlü, N. Ş.
Формат: Стаття
Мова:English
Опубліковано: Lugansk National Taras Shevchenko University 2021
Теми:
Онлайн доступ:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1258
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Назва журналу:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics
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spelling oai:ojs.admjournal.luguniv.edu.ua:article-12582021-01-29T09:38:49Z Normal automorphisms of the metabelian product of free abelian Lie algebras Öğüşlü, N. Ş. free abelian Lie algebras, metabelian product, automorphisms 17B01, 17B40 Let \(M\) be the metabelian product of free abelian Lie algebras of finite rank. In this study we prove that every normal automorphism of \(M\) is an IA-automorphism and acts identically on \(M'\). Lugansk National Taras Shevchenko University 2021-01-29 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1258 10.12958/adm1258 Algebra and Discrete Mathematics; Vol 30, No 2 (2020) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1258/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/1258/436 Copyright (c) 2021 Algebra and Discrete Mathematics
institution Algebra and Discrete Mathematics
baseUrl_str
datestamp_date 2021-01-29T09:38:49Z
collection OJS
language English
topic free abelian Lie algebras
metabelian product
automorphisms
17B01
17B40
spellingShingle free abelian Lie algebras
metabelian product
automorphisms
17B01
17B40
Öğüşlü, N. Ş.
Normal automorphisms of the metabelian product of free abelian Lie algebras
topic_facet free abelian Lie algebras
metabelian product
automorphisms
17B01
17B40
format Article
author Öğüşlü, N. Ş.
author_facet Öğüşlü, N. Ş.
author_sort Öğüşlü, N. Ş.
title Normal automorphisms of the metabelian product of free abelian Lie algebras
title_short Normal automorphisms of the metabelian product of free abelian Lie algebras
title_full Normal automorphisms of the metabelian product of free abelian Lie algebras
title_fullStr Normal automorphisms of the metabelian product of free abelian Lie algebras
title_full_unstemmed Normal automorphisms of the metabelian product of free abelian Lie algebras
title_sort normal automorphisms of the metabelian product of free abelian lie algebras
description Let \(M\) be the metabelian product of free abelian Lie algebras of finite rank. In this study we prove that every normal automorphism of \(M\) is an IA-automorphism and acts identically on \(M'\).
publisher Lugansk National Taras Shevchenko University
publishDate 2021
url https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1258
work_keys_str_mv AT ogusluns normalautomorphismsofthemetabelianproductoffreeabelianliealgebras
first_indexed 2025-07-17T10:32:21Z
last_indexed 2025-07-17T10:32:21Z
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