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|Title:||Free power-associative n-ary groupoids||Authors:||Celakoska-Jordanova, Vesna
|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.||URI:||http://hdl.handle.net/20.500.12188/2050||DOI:||10.1515/ms-2017-0203|
|Appears in Collections:||Faculty of Natural Sciences and Mathematics: Journal Articles|
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