Geometry monoid of the left distributivity and the left idempotency

• Veröffentlicht in: Algebra and Discrete Mathematics
• Datum: 2006
• ISSN: 1726-3255
• 1. Verfasser: Jedlicka, P.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут прикладної математики і механіки НАН України 2006
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/157392
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: 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.