Open AccessOn CM-groupoids with multiple identities and medial topological left loops
Author(s) -
Chiriac Liubomir,
Natalia Bobeica,
Natalia Lupashco,
Dorin Pavel
Publication year - 2022
Publication title -
acta et commentationes: ştiinţe exacte şi ale naturii
Language(s) - English
Resource type - Journals
eISSN - 2587-3644
pISSN - 2537-6284
DOI - 10.36120/2587-3644.v12i2.120-131
Subject(s) - quasigroup , mathematics , identity (music) , associative property , topology (electrical circuits) , pure mathematics , algebra over a field , combinatorics , physics , acoustics
This paper studies some properties of CM-groupoids with multiple identities and medial topological left loops. The conditions for a CM-groupoid to become a CM-quasigroup were found. A new method of constructing non-associative medial topological quasigroups with left identity is given. Various examples of quasigroups with multiple identities have been constructed