Proceedings of the II Congress of Math. and Inf. of Macedonia, Ohrid 2000
Date Issued
2003
Author(s)
Janeva, Biljana
Celakoska-Jordanova, Vesna
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.
