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arXiv · 1508.07726

Equations in polyadic groups

H. Khodabandeh·M. Shahryari
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Abstract

Systems of equations and their solution sets are studied in polyadic groups. We prove that a polyadic group $(G, f)=\mathrm{der}_{θ, b}(G, \cdot)$ is equational noetherian, if and only if the ordinary group $(G, \cdot)$ is equational noetherian. The structure of coordinate polyadic group of algebraic sets in equational noetherian polyadic groups are also determined.

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H. Khodabandeh, M. Shahryari. 2015-08-31. Equations in polyadic groups. https://arxiv.org/abs/1508.07726

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