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Subject: (n,m)-operation, (n,m)-semigroup, n-groupoid, universal semigroup

Year: 2003

Type: Article

Title: On a class of n-groupoids

Author: Janeva, Biljana
Author: Miovska, Valentina
Author: 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.

Publisher: Union of Mathematicians of Macedonia

Relation: Proceedings of the II Congress of Math. and Inf. of Macedonia, Ohrid 2000

Identifier: oai:repository.ukim.mk:20.500.12188/1966
Identifier: http://hdl.handle.net/20.500.12188/1966

Title	Date	Views
On a class of n-groupoids	2003	15