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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Видавець: | Інститут прикладної математики і механіки НАН України |
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Дата: | 2013 |
Автор: | |
Формат: | Стаття |
Мова: | English |
Опубліковано: |
Інститут прикладної математики і механіки НАН України
2013
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Назва видання: | Algebra and Discrete Mathematics |
Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/152297 |
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Цитувати: | 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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irk-123456789-1522972019-06-10T01:26:00Z Free (ℓr, rr)-dibands Zhuchok, A.V. 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. 2013 Article 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. http://dspace.nbuv.gov.ua/handle/123456789/152297 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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DSpace DC |
language |
English |
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. |
format |
Article |
author |
Zhuchok, A.V. |
spellingShingle |
Zhuchok, A.V. Free (ℓr, rr)-dibands Algebra and Discrete Mathematics |
author_facet |
Zhuchok, A.V. |
author_sort |
Zhuchok, A.V. |
title |
Free (ℓr, rr)-dibands |
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 |
publisher |
Інститут прикладної математики і механіки НАН України |
publishDate |
2013 |
url |
http://dspace.nbuv.gov.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. |
series |
Algebra and Discrete Mathematics |
work_keys_str_mv |
AT zhuchokav freelrrrdibands |
first_indexed |
2023-05-20T17:37:58Z |
last_indexed |
2023-05-20T17:37:58Z |
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1796153735729119232 |