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Free power-associative $n$-ary groupoids

In: Mathematica Slovaca, vol. 69, no. 1
Vesna Celakoska-Jordanova - Valentina Miovska
Detaily:
Rok, strany: 2019, 71 - 80
Kľúčové slová:
$n$-ary groupoid, $n$-ary semigroup, $n$-ary groupoid powers, free objects, injective power-associative $n$-ary groupoid
O článku:
A power-associative $n$-ary groupoid is an $n$-ary groupoid $\textbf{\textit{G}}$ such that for every element $a\in G$, the $n$-ary subgroupoid of $\textbf{\textit{G}}$ generated by $a$ is an $n$-ary subsemigroup of $\textbf{\textit{G}}$. The class $\mathcal{P}a$ 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 $\mathcal{P}a$ are obtained.
Ako citovať:
ISO 690:
Celakoska-Jordanova, V., Miovska, V. 2019. Free power-associative $n$-ary groupoids. In Mathematica Slovaca, vol. 69, no.1, pp. 71-80. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0203

APA:
Celakoska-Jordanova, V., Miovska, V. (2019). Free power-associative $n$-ary groupoids. Mathematica Slovaca, 69(1), 71-80. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0203
O vydaní:
Publikované: 24. 1. 2019