On a class of n-groupoids

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Наслов:	On a class of n-groupoids
Authors:	Janeva, Biljana Miovska, Valentina Celakoska-Jordanova, Vesna
Keywords:	(n,m)-operation, (n,m)-semigroup, n-groupoid, universal semigroup
Issue Date:	2003
Publisher:	Union of Mathematicians of Macedonia
Journal:	Proceedings of the II Congress of Math. and Inf. of Macedonia, Ohrid 2000
Conference:	II Congress of Math. and Inf. of Macedonia, Ohrid 2000
Abstract:	Using the notion of vector valued semigroups, i.e. (m+k,m)-semigroups, a special class of n-groupoids , named m\|k-semigroups, is introduced and some examples of m\|k semigroups are given. It is shown that the general associative law (GAL) for m\|k-semigroups holds, and someand some consequences of GAL are obtained.A description of the universal semigroup of an m\|k-semigroup is given. The notion of m\|k-group is also introduced and some properties are shown.
URI:	http://hdl.handle.net/20.500.12188/1966
Appears in Collections:	Faculty of Natural Sciences and Mathematics: Conference papers