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 \(2\).
Saved in:
| Date: | 2018 |
|---|---|
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Lugansk National Taras Shevchenko University
2018
|
| Subjects: | |
| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1164 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Algebra and Discrete Mathematics |
Institution
Algebra and Discrete Mathematics| id |
admjournalluguniveduua-article-1164 |
|---|---|
| record_format |
ojs |
| spelling |
admjournalluguniveduua-article-11642018-05-16T05:04:06Z Free \(n\)-nilpotent dimonoids Zhuchok, Anatolii V. \(n\)-nilpotent dimonoid, free \(n\)-nilpotent dimonoid, \(0\)-diband of subdimonoids, dimonoid, semigroup 08B20, 20M10, 20M50, 17A30, 17A32 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 \(2\). Lugansk National Taras Shevchenko University 2018-05-16 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1164 Algebra and Discrete Mathematics; Vol 16, No 2 (2013) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1164/656 Copyright (c) 2018 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
| baseUrl_str |
|
| datestamp_date |
2018-05-16T05:04:06Z |
| collection |
OJS |
| language |
English |
| topic |
\(n\)-nilpotent dimonoid free \(n\)-nilpotent dimonoid \(0\)-diband of subdimonoids dimonoid semigroup 08B20 20M10 20M50 17A30 17A32 |
| spellingShingle |
\(n\)-nilpotent dimonoid free \(n\)-nilpotent dimonoid \(0\)-diband of subdimonoids dimonoid semigroup 08B20 20M10 20M50 17A30 17A32 Zhuchok, Anatolii V. Free \(n\)-nilpotent dimonoids |
| topic_facet |
\(n\)-nilpotent dimonoid free \(n\)-nilpotent dimonoid \(0\)-diband of subdimonoids dimonoid semigroup 08B20 20M10 20M50 17A30 17A32 |
| format |
Article |
| author |
Zhuchok, Anatolii V. |
| author_facet |
Zhuchok, Anatolii V. |
| author_sort |
Zhuchok, Anatolii V. |
| title |
Free \(n\)-nilpotent dimonoids |
| 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 |
| 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 \(2\). |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2018 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1164 |
| work_keys_str_mv |
AT zhuchokanatoliiv freennilpotentdimonoids |
| first_indexed |
2025-12-02T15:44:02Z |
| last_indexed |
2025-12-02T15:44:02Z |
| _version_ |
1850411835930443776 |