Free n-nilpotent dimonoids
We construct a free n-nilpotent dimonoid and describe its structure. We also characterize the least n-nilpotent congruence on a free dimonoid, construct a new class of dimonoids with zero and give examples of nilpotent dimonoids of nilpotency index 2.
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| Veröffentlicht in: | Algebra and Discrete Mathematics |
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| Datum: | 2013 |
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Інститут прикладної математики і механіки НАН України
2013
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/152356 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Free n-nilpotent dimonoids / A.V. Zhuchok // Algebra and Discrete Mathematics. — 2013. — Vol. 16, № 2. — С. 299–309. — Бібліогр.: 20 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-152356 |
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| spelling |
Zhuchok, A.V. 2019-06-10T11:12:15Z 2019-06-10T11:12:15Z 2013 Free n-nilpotent dimonoids / A.V. Zhuchok // Algebra and Discrete Mathematics. — 2013. — Vol. 16, № 2. — С. 299–309. — Бібліогр.: 20 назв. — англ. 1726-3255 2010 MSC:08B20, 20M10, 20M50, 17A30, 17A32. https://nasplib.isofts.kiev.ua/handle/123456789/152356 We construct a free n-nilpotent dimonoid and describe its structure. We also characterize the least n-nilpotent congruence on a free dimonoid, construct a new class of dimonoids with zero and give examples of nilpotent dimonoids of nilpotency index 2. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Free n-nilpotent dimonoids Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Free n-nilpotent dimonoids |
| spellingShingle |
Free n-nilpotent dimonoids Zhuchok, A.V. |
| title_short |
Free n-nilpotent dimonoids |
| title_full |
Free n-nilpotent dimonoids |
| title_fullStr |
Free n-nilpotent dimonoids |
| title_full_unstemmed |
Free n-nilpotent dimonoids |
| title_sort |
free n-nilpotent dimonoids |
| author |
Zhuchok, A.V. |
| author_facet |
Zhuchok, A.V. |
| publishDate |
2013 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| description |
We construct a free n-nilpotent dimonoid and describe its structure. We also characterize the least n-nilpotent congruence on a free dimonoid, construct a new class of dimonoids with zero and give examples of nilpotent dimonoids of nilpotency index 2.
|
| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/152356 |
| citation_txt |
Free n-nilpotent dimonoids / A.V. Zhuchok // Algebra and Discrete Mathematics. — 2013. — Vol. 16, № 2. — С. 299–309. — Бібліогр.: 20 назв. — англ. |
| work_keys_str_mv |
AT zhuchokav freennilpotentdimonoids |
| first_indexed |
2025-12-07T16:48:01Z |
| last_indexed |
2025-12-07T16:48:01Z |
| _version_ |
1850868846285553664 |