TY - JOUR
T1 - Equations in polyadic groups
AU - Khodabandeh, H.
AU - Shahryari, M.
N1 - Publisher Copyright:
© 2017, Copyright © Taylor & Francis Group, LLC.
PY - 2017/3/4
Y1 - 2017/3/4
N2 - 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.
AB - 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.
KW - Algebraic sets
KW - coordinate polyadic groups
KW - equational noetherian property
KW - equations
KW - free polyadic groups
KW - n-ary groups
KW - polyadic groups
KW - post’s cover
KW - universal algebraic geometry
UR - http://www.scopus.com/inward/record.url?scp=84995609154&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84995609154&partnerID=8YFLogxK
U2 - 10.1080/00927872.2016.1175600
DO - 10.1080/00927872.2016.1175600
M3 - Article
AN - SCOPUS:84995609154
SN - 0092-7872
VL - 45
SP - 1227
EP - 1238
JO - Communications in Algebra
JF - Communications in Algebra
IS - 3
ER -