Weak associativity and quasigroup units

DC Field	Value	Language
dc.contributor.author	Krapež, Aleksandar	en
dc.date.accessioned	2020-05-02T16:41:48Z	-
dc.date.available	2020-05-02T16:41:48Z	-
dc.date.issued	2019-01-01	en
dc.identifier.issn	0350-1302	en
dc.identifier.uri	http://researchrepository.mi.sanu.ac.rs/handle/123456789/2347	-
dc.description.abstract	We investigate a family of identities similar to weak associativity: x(y/y) · z = x · (y/y)z which might imply the existence of the unit in a quasigroup. A partial solution to Krapež, Shcherbacov Problem concerning such identities and consequently to similar well known Belousov's Problem is obtained. Another problem by Krapež and Shcherbacov is solved affirmatively, showing that there are many single identities determining unipotent loops among quasigroups.	en
dc.publisher	Mathematical Institute of the SASA	-
dc.relation	Analysis and algebra with applications	-
dc.relation.ispartof	Publications de l'Institut Mathematique	en
dc.subject	Loop \| quasigroup \| Unit \| Weak associativity	en
dc.title	Weak associativity and quasigroup units	en
dc.type	Article	en
dc.identifier.doi	10.2298/PIM1919017K	en
dc.identifier.scopus	2-s2.0-85066118656	en
dc.relation.firstpage	17	en
dc.relation.lastpage	24	en
dc.relation.issue	119	en
dc.relation.volume	105	en
dc.description.rank	M24	-
item.openairecristype	http://purl.org/coar/resource_type/c_18cf	-
item.openairetype	Article	-
item.cerifentitytype	Publications	-
item.fulltext	No Fulltext	-
item.grantfulltext	none	-
crisitem.author.orcid	0000-0002-9533-1739	-

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