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 |
|---|---|
| Datum: | 2013 |
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | Englisch |
| 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. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862703302967296000 |
|---|---|
| author | Zhuchok, A.V. |
| author_facet | Zhuchok, A.V. |
| citation_txt | Free n-nilpotent dimonoids / A.V. Zhuchok // Algebra and Discrete Mathematics. — 2013. — Vol. 16, № 2. — С. 299–309. — Бібліогр.: 20 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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.
|
| first_indexed | 2025-12-07T16:48:01Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-152356 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T16:48:01Z |
| publishDate | 2013 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| 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 |
| spellingShingle | Free n-nilpotent dimonoids Zhuchok, A.V. |
| title | Free n-nilpotent dimonoids |
| title_full | Free n-nilpotent dimonoids |
| title_fullStr | Free n-nilpotent dimonoids |
| title_full_unstemmed | Free n-nilpotent dimonoids |
| title_short | Free n-nilpotent dimonoids |
| title_sort | free n-nilpotent dimonoids |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/152356 |
| work_keys_str_mv | AT zhuchokav freennilpotentdimonoids |