Subject: n-ary groupoid, n-ary semigroup, n-ary groupoid powers, free objects, injective power-associative n-ary groupoid
Year: 2019
Type: Article
Title: Free power-associative n-ary groupoids
Author: Celakoska-Jordanova, Vesna
Author: Miovska, Valentina
Abstract: A power-associative n-ary groupoid is an n-ary groupoid G such that for every element a in G, the n-ary subgroupoid of G generated by a is an n-ary subsemigroup of G. The class Pa of power-associative n-ary groupoids is a variety. A description of free objects in this variety and their characterization by means of injective n-ary groupoids in Pa are obtained.
Publisher: De Gryter
Relation: Mathematica Slovaca
Identifier: oai:repository.ukim.mk:20.500.12188/2050
Identifier: http://hdl.handle.net/20.500.12188/2050Identifier: 10.1515/ms-2017-0203
