On one class of algebras

In this paper a g-dimonoid which is isomorphic to the free g-dimonoid is given and a free n-nilpotent g-dimonoid is constructed. We also present the least n-nilpotent congruence on a free g-dimonoid and give numerous examples of g-dimonoids.

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Published in:Algebra and Discrete Mathematics
Date:2014
Main Author: Zhuchok, Yul.V.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2014
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/153324
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:On one class of algebras / Yul.V. Zhuchok // Algebra and Discrete Mathematics. — 2014. — Vol. 18, № 2. — С. 306–320. — Бібліогр.: 14 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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author Zhuchok, Yul.V.
author_facet Zhuchok, Yul.V.
citation_txt On one class of algebras / Yul.V. Zhuchok // Algebra and Discrete Mathematics. — 2014. — Vol. 18, № 2. — С. 306–320. — Бібліогр.: 14 назв. — англ.
collection DSpace DC
container_title Algebra and Discrete Mathematics
description In this paper a g-dimonoid which is isomorphic to the free g-dimonoid is given and a free n-nilpotent g-dimonoid is constructed. We also present the least n-nilpotent congruence on a free g-dimonoid and give numerous examples of g-dimonoids.
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institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
issn 1726-3255
language English
last_indexed 2025-11-25T20:37:02Z
publishDate 2014
publisher Інститут прикладної математики і механіки НАН України
record_format dspace
spelling Zhuchok, Yul.V.
2019-06-14T03:20:01Z
2019-06-14T03:20:01Z
2014
On one class of algebras / Yul.V. Zhuchok // Algebra and Discrete Mathematics. — 2014. — Vol. 18, № 2. — С. 306–320. — Бібліогр.: 14 назв. — англ.
1726-3255
2010 MSC:08B20, 20M10, 20M50, 17A30, 17A32.
https://nasplib.isofts.kiev.ua/handle/123456789/153324
In this paper a g-dimonoid which is isomorphic to the free g-dimonoid is given and a free n-nilpotent g-dimonoid is constructed. We also present the least n-nilpotent congruence on a free g-dimonoid and give numerous examples of g-dimonoids.
en
Інститут прикладної математики і механіки НАН України
Algebra and Discrete Mathematics
On one class of algebras
Article
published earlier
spellingShingle On one class of algebras
Zhuchok, Yul.V.
title On one class of algebras
title_full On one class of algebras
title_fullStr On one class of algebras
title_full_unstemmed On one class of algebras
title_short On one class of algebras
title_sort on one class of algebras
url https://nasplib.isofts.kiev.ua/handle/123456789/153324
work_keys_str_mv AT zhuchokyulv ononeclassofalgebras