On normalizers in fuzzy groups

On normalizers in fuzzy groups

In an arbitrary fuzzy group we define the normalizer of fuzzy subgroup and study some its properties. In particular, the characterization of nilpotent fuzzy group has been obtained.

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Bibliographic Details
Date:2018
Main Authors: Kurdachenko, L. A., Grin, K. O., Turbay, N. A.
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2018
Subjects:
Fuzzy group
fuzzy subgroup
lower central series
nilpotent fuzzy group
normalizer condition
ascendant fuzzy subgroup
characteristic function
Primary 20N25
08A72
03E72
Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/732
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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-732
record_format ojs
spelling oai:ojs.admjournal.luguniv.edu.ua:article-7322018-04-28T03:01:42Z On normalizers in fuzzy groups Kurdachenko, L. A. Grin, K. O. Turbay, N. A. Fuzzy group; fuzzy subgroup; lower central series; nilpotent fuzzy group; normalizer condition; ascendant fuzzy subgroup; characteristic function Primary 20N25, 08A72, 03E72 In an arbitrary fuzzy group we define the normalizer of fuzzy subgroup and study some its properties. In particular, the characterization of nilpotent fuzzy group has been obtained. Lugansk National Taras Shevchenko University 2018-04-26 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/732 Algebra and Discrete Mathematics; Vol 15, No 1 (2013) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/732/pdf Copyright (c) 2018 Algebra and Discrete Mathematics
institution Algebra and Discrete Mathematics
baseUrl_str
datestamp_date 2018-04-28T03:01:42Z
collection OJS
language English
topic Fuzzy group
fuzzy subgroup
lower central series
nilpotent fuzzy group
normalizer condition
ascendant fuzzy subgroup
characteristic function
Primary 20N25
08A72
03E72
spellingShingle Fuzzy group
fuzzy subgroup
lower central series
nilpotent fuzzy group
normalizer condition
ascendant fuzzy subgroup
characteristic function
Primary 20N25
08A72
03E72
Kurdachenko, L. A.
Grin, K. O.
Turbay, N. A.
On normalizers in fuzzy groups
topic_facet Fuzzy group
fuzzy subgroup
lower central series
nilpotent fuzzy group
normalizer condition
ascendant fuzzy subgroup
characteristic function
Primary 20N25
08A72
03E72
format Article
author Kurdachenko, L. A.
Grin, K. O.
Turbay, N. A.
author_facet Kurdachenko, L. A.
Grin, K. O.
Turbay, N. A.
author_sort Kurdachenko, L. A.
title On normalizers in fuzzy groups
title_short On normalizers in fuzzy groups
title_full On normalizers in fuzzy groups
title_fullStr On normalizers in fuzzy groups
title_full_unstemmed On normalizers in fuzzy groups
title_sort on normalizers in fuzzy groups
description In an arbitrary fuzzy group we define the normalizer of fuzzy subgroup and study some its properties. In particular, the characterization of nilpotent fuzzy group has been obtained.
publisher Lugansk National Taras Shevchenko University
publishDate 2018
url https://admjournal.luguniv.edu.ua/index.php/adm/article/view/732
work_keys_str_mv AT kurdachenkola onnormalizersinfuzzygroups
AT grinko onnormalizersinfuzzygroups
AT turbayna onnormalizersinfuzzygroups
first_indexed 2025-07-17T10:32:06Z
last_indexed 2025-07-17T10:32:06Z
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