Free power-associative n-ary groupoids
Journal
Mathematica Slovaca
Date Issued
2019-01
Author(s)
Celakoska-Jordanova, Vesna
DOI
10.1515/ms-2017-0203
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.
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.
Subjects