On one class of algebras

• Published in: Algebra and Discrete Mathematics
• Date: 2014
• ISSN: 1726-3255
• Main Author: Zhuchok, Yul.V.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2014
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/153324
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On one class of algebras / Yul.V. Zhuchok // Algebra and Discrete Mathematics. — 2014. — Vol. 18, № 2. — С. 306–320. — Бібліогр.: 14 назв. — англ.

In this paper a g-dimonoid which is isomorphic to the free g-dimonoid is given and a free n-nilpotent g-dimonoid is constructed. We also present the least n-nilpotent congruence on a free g-dimonoid and give numerous examples of g-dimonoids.