Free n-nilpotent dimonoids

• Published in: Algebra and Discrete Mathematics
• Date: 2013
• Main Author: Zhuchok, A.V.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2013
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/152356
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Free n-nilpotent dimonoids / A.V. Zhuchok // Algebra and Discrete Mathematics. — 2013. — Vol. 16, № 2. — С. 299–309. — Бібліогр.: 20 назв. — англ.

We construct a free n-nilpotent dimonoid and describe its structure. We also characterize the least n-nilpotent congruence on a free dimonoid, construct a new class of dimonoids with zero and give examples of nilpotent dimonoids of nilpotency index 2.