Free (ℓr, rr)-dibands
We prove that varieties of (ℓr, rr)-dibands and (ℓn, rn)-dibands coincide and describe the structure of free (ℓr, 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...
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| Published in: | Algebra and Discrete Mathematics |
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| Date: | 2013 |
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| Format: | Article |
| Language: | English |
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Інститут прикладної математики і механіки НАН України
2013
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/152297 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Free (ℓr, rr)-dibands / A. V. Zhuchok // Algebra and Discrete Mathematics. — 2013. — Vol. 15, № 2. — С. 295–304. — Бібліогр.: 12 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-152297 |
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Zhuchok, A.V. 2019-06-09T15:37:32Z 2019-06-09T15:37:32Z 2013 Free (ℓr, rr)-dibands / A. V. Zhuchok // Algebra and Discrete Mathematics. — 2013. — Vol. 15, № 2. — С. 295–304. — Бібліогр.: 12 назв. — англ. 1726-3255 2010 MSC:08B20, 20M10, 20M50, 17A30, 17A32. https://nasplib.isofts.kiev.ua/handle/123456789/152297 We prove that varieties of (ℓr, rr)-dibands and (ℓn, rn)-dibands coincide and describe the structure of free (ℓr, 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. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Free (ℓr, rr)-dibands Article published earlier |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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DSpace DC |
| title |
Free (ℓr, rr)-dibands |
| spellingShingle |
Free (ℓr, rr)-dibands Zhuchok, A.V. |
| title_short |
Free (ℓr, rr)-dibands |
| title_full |
Free (ℓr, rr)-dibands |
| title_fullStr |
Free (ℓr, rr)-dibands |
| title_full_unstemmed |
Free (ℓr, rr)-dibands |
| title_sort |
free (ℓr, rr)-dibands |
| 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 prove that varieties of (ℓr, rr)-dibands and (ℓn, rn)-dibands coincide and describe the structure of free (ℓr, 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.
|
| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/152297 |
| citation_txt |
Free (ℓr, rr)-dibands / A. V. Zhuchok // Algebra and Discrete Mathematics. — 2013. — Vol. 15, № 2. — С. 295–304. — Бібліогр.: 12 назв. — англ. |
| work_keys_str_mv |
AT zhuchokav freelrrrdibands |
| first_indexed |
2025-12-02T09:26:22Z |
| last_indexed |
2025-12-02T09:26:22Z |
| _version_ |
1850862100461649920 |