Equations in polyadic groups

H. Khodabandeh; M. Shahryari

doi:10.1080/00927872.2016.1175600

Equations in polyadic groups

H. Khodabandeh, M. Shahryari^*

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

Systems of equations and their solution sets are studied in polyadic groups. We prove that a polyadic group (G,f) = der_θ,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 language	English
Pages (from-to)	1227-1238
Number of pages	12
Journal	Communications in Algebra
Volume	45
Issue number	3
DOIs	https://doi.org/10.1080/00927872.2016.1175600
Publication status	Published - Mar 4 2017

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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10.1080/00927872.2016.1175600

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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) = 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.",

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author = "H. Khodabandeh and M. Shahryari",

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AU - Khodabandeh, H.

AU - Shahryari, M.

PY - 2017/3/4

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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

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U2 - 10.1080/00927872.2016.1175600

DO - 10.1080/00927872.2016.1175600

M3 - Article

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SN - 0092-7872

VL - 45

SP - 1227

EP - 1238

JO - Communications in Algebra

JF - Communications in Algebra

IS - 3

ER -

Equations in polyadic groups

Abstract

Keywords

ASJC Scopus subject areas

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