ABSTRACT
Systems of equations and their solution sets are studied in polyadic groups. We prove that a polyadic group (G,f) = der𝜃,b(G,⋅) is equational noetherian, if and only if the ordinary group (G,⋅) is equational noetherian. The structure of coordinate polyadic group of algebraic sets in equational noetherian polyadic groups is also determined.
2010 MATHEMATICS SUBJECT CLASSIFICATION: