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http://hdl.handle.net/20.500.12188/2050| 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. | 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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