Free \((\ell r, rr)\)-dibands
We prove that varieties of \((\ell r, rr)\)-dibands and \((\ell n, rn)\)-dibands coincide and describe the structure of free \((\ell r, rr)\)-dibands. We also show that operations of an idempotent dimonoid with left (right) regular bands coincide, construct a new class of dimonoids and for such dimo...
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| Date: | 2018 |
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| Format: | Article |
| Language: | English |
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Lugansk National Taras Shevchenko University
2018
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| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/749 |
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| Journal Title: | Algebra and Discrete Mathematics |
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oai:ojs.admjournal.luguniv.edu.ua:article-7492018-04-26T00:55:03Z Free \((\ell r, rr)\)-dibands Zhuchok, Anatolii V. left (right) regular band, \((\ell r, rr)\)-diband, diband of subdimonoids, dimonoid, semigroup 08B20, 20M10, 20M50, 17A30, 17A32 We prove that varieties of \((\ell r, rr)\)-dibands and \((\ell n, rn)\)-dibands coincide and describe the structure of free \((\ell r, rr)\)-dibands. We also show that operations of an idempotent dimonoid with left (right) regular bands coincide, construct a new class of dimonoids and for such dimonoids give an example of a semiretraction. 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/749 Algebra and Discrete Mathematics; Vol 15, No 2 (2013) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/749/279 Copyright (c) 2018 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
| baseUrl_str |
|
| datestamp_date |
2018-04-26T00:55:03Z |
| collection |
OJS |
| language |
English |
| topic |
left (right) regular band \((\ell r rr)\)-diband diband of subdimonoids dimonoid semigroup 08B20 20M10 20M50 17A30 17A32 |
| spellingShingle |
left (right) regular band \((\ell r rr)\)-diband diband of subdimonoids dimonoid semigroup 08B20 20M10 20M50 17A30 17A32 Zhuchok, Anatolii V. Free \((\ell r, rr)\)-dibands |
| topic_facet |
left (right) regular band \((\ell r rr)\)-diband 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 \((\ell r, rr)\)-dibands |
| title_short |
Free \((\ell r, rr)\)-dibands |
| title_full |
Free \((\ell r, rr)\)-dibands |
| title_fullStr |
Free \((\ell r, rr)\)-dibands |
| title_full_unstemmed |
Free \((\ell r, rr)\)-dibands |
| title_sort |
free \((\ell r, rr)\)-dibands |
| description |
We prove that varieties of \((\ell r, rr)\)-dibands and \((\ell n, rn)\)-dibands coincide and describe the structure of free \((\ell r, rr)\)-dibands. We also show that operations of an idempotent dimonoid with left (right) regular bands coincide, construct a new class of dimonoids and for such dimonoids give an example of a semiretraction. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2018 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/749 |
| work_keys_str_mv |
AT zhuchokanatoliiv freeellrrrdibands |
| first_indexed |
2025-07-17T10:31:31Z |
| last_indexed |
2025-07-17T10:31:31Z |
| _version_ |
1837890138834731008 |