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 \((r b, rz)\)-congruence, the least left zero and right zero congruence, the least rectangular band congruence and the least left zero congruence on free dimonoids...
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| Date: | 2018 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Lugansk National Taras Shevchenko University
2018
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| Subjects: | |
| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/669 |
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| Journal Title: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| Summary: | We construct a free rectangular diband and describe its structure. We also present the least rectangular diband congruence, the least \((r b, rz)\)-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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