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 |
|---|---|
| Date: | 2013 |
| Main Author: | |
| 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| _version_ | 1862659342814150656 |
|---|---|
| author | Zhuchok, A.V. |
| author_facet | Zhuchok, A.V. |
| citation_txt | Free (ℓr, rr)-dibands / A. V. Zhuchok // Algebra and Discrete Mathematics. — 2013. — Vol. 15, № 2. — С. 295–304. — Бібліогр.: 12 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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.
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| first_indexed | 2025-12-02T09:26:22Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-152297 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-02T09:26:22Z |
| publishDate | 2013 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | Free (ℓr, rr)-dibands Zhuchok, A.V. |
| title | Free (ℓr, rr)-dibands |
| title_full | Free (ℓr, rr)-dibands |
| title_fullStr | Free (ℓr, rr)-dibands |
| title_full_unstemmed | Free (ℓr, rr)-dibands |
| title_short | Free (ℓr, rr)-dibands |
| title_sort | free (ℓr, rr)-dibands |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/152297 |
| work_keys_str_mv | AT zhuchokav freelrrrdibands |