Equations in polyadic groups

摘要

Systems of equations and their solution sets are studied in polyadic groups. We prove that a polyadic group (G, f) der(theta,b)(G,center dot) is equational noetherian' if and only if the ordinary group (G,center dot) is equational noetherian. The structure f coordinate polyadic group of alge'braic sets in equational noetherian polyadic groups is also determined.