Geometry monoid of the left distributivity and the left idempotency

• Published in: Algebra and Discrete Mathematics
• Date: 2006
• Main Author: Jedlicka, P.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2006
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/157392
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Geometry monoid of the left distributivity and the left idempotency / P. Jedlicka // Algebra and Discrete Mathematics. — 2006. — Vol. 5, № 4. — С. 12–39. — Бібліогр.: 14 назв. — англ.

We construct here the geometry monoids of LDI (left distributive idempotent) and of LDLI (left distributive left idempotent) identities. We study their properties and construct a monoid with solvable word problem based on relations of the geometry monoid of LDLI.