On a Particular Case of the Bisymmetric Equation for Quasigroups

C. Petit; M. Renauld; F-X. Standaert

doi:10.1007/s10474-014-0428-y

On a Particular Case of the Bisymmetric Equation for Quasigroups

C. Petit, M. Renauld, F-X. Standaert

Computer Science

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

Abstract

We characterize the solutions of the equation
(1) D(G(x,y),G(u,v))=G(D(x,u),T(y,v))
where D, G and T are quasigroups. We also discuss the particular case when D = T.

Original language	English
Pages (from-to)	330-336
Number of pages	6
Journal	Acta Mathematica Hungarica
Volume	143
Issue number	2
Early online date	20 Jun 2014
DOIs	https://doi.org/10.1007/s10474-014-0428-y
Publication status	Published - Aug 2014

Keywords

functional equation
quasigroup

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title = "On a Particular Case of the Bisymmetric Equation for Quasigroups",

abstract = "We characterize the solutions of the equation (1) D(G(x,y),G(u,v))=G(D(x,u),T(y,v)) where D, G and T are quasigroups. We also discuss the particular case when D = T.",

keywords = "functional equation, quasigroup",

author = "C. Petit and M. Renauld and F-X. Standaert",

year = "2014",

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T1 - On a Particular Case of the Bisymmetric Equation for Quasigroups

AU - Petit, C.

AU - Renauld, M.

AU - Standaert, F-X.

PY - 2014/8

Y1 - 2014/8

N2 - We characterize the solutions of the equation (1) D(G(x,y),G(u,v))=G(D(x,u),T(y,v)) where D, G and T are quasigroups. We also discuss the particular case when D = T.

AB - We characterize the solutions of the equation (1) D(G(x,y),G(u,v))=G(D(x,u),T(y,v)) where D, G and T are quasigroups. We also discuss the particular case when D = T.

KW - functional equation

KW - quasigroup

U2 - 10.1007/s10474-014-0428-y

DO - 10.1007/s10474-014-0428-y

M3 - Article

SN - 0236-5294

VL - 143

SP - 330

EP - 336

JO - Acta Mathematica Hungarica

JF - Acta Mathematica Hungarica

IS - 2

ER -

On a Particular Case of the Bisymmetric Equation for Quasigroups

Abstract

Keywords

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