Free rectangular dibands and free dimonoids
We construct a free rectangular diband and describe its structure. We also present the least rectangular diband congruence, the least (rb,rz)-congruence, the least left zero and right zero congruence, the least rectangular band congruence and the least left zero congruence on free dimonoids and u...
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| Published in: | Algebra and Discrete Mathematics |
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| Date: | 2011 |
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| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2011
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/154762 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Free rectangular dibands and free dimonoids / A.V. Zhuchok // Algebra and Discrete Mathematics. — 2011. — Vol. 11, № 2. — С. 92–111. — Бібліогр.: 15 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | We construct a free rectangular diband and describe its structure. We also present the least rectangular diband congruence, the least (rb,rz)-congruence, the least left zero and right zero congruence, the least rectangular band congruence and the least left zero congruence on free dimonoids and use them to obtain decompositions of free dimonoids.
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| ISSN: | 1726-3255 |