Equations in polyadic groups

H. Khodabandeh, M. Shahryari*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

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.

Original languageEnglish
Pages (from-to)1227-1238
Number of pages12
JournalCommunications in Algebra
Volume45
Issue number3
DOIs
Publication statusPublished - Mar 4 2017
Externally publishedYes

Keywords

  • Algebraic sets
  • coordinate polyadic groups
  • equational noetherian property
  • equations
  • free polyadic groups
  • n-ary groups
  • polyadic groups
  • post’s cover
  • universal algebraic geometry

ASJC Scopus subject areas

  • Algebra and Number Theory

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