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Title: Free power-associative n-ary groupoids
Authors: Celakoska-Jordanova, Vesna
Miovska, Valentina 
Keywords: n-ary groupoid, n-ary semigroup, n-ary groupoid powers, free objects, injective power-associative n-ary groupoid
Issue Date: Jan-2019
Publisher: De Gryter
Journal: Mathematica Slovaca
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.
DOI: 10.1515/ms-2017-0203
Appears in Collections:Faculty of Natural Sciences and Mathematics: Journal Articles

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