Free rectangular dibands and free dimonoids

• Published in: Algebra and Discrete Mathematics
• Date: 2011
• Main Author: Zhuchok, A.V.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2011
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/154762
• 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.

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...