Reference : Characterizations of biselective operations
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/35991
Characterizations of biselective operations
English
Devillet, Jimmy mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Kiss, Gergely []
Apr-2019
Acta Mathematica Hungarica
Springer
157
2
387-407
Yes (verified by ORBilu)
International
0236-5294
1588-2632
Netherlands
[en] (i,j)-selectiveness ; transitivity ; axiomatization ; associativity ; bisymmetry
[en] Let X be a nonempty set and let i,j in {1,2,3,4}. We say that
a binary operation F:X^2 -> X is (i,j)-selective if
F(F(x_1,x_2),F(x_3,x_4)) = F(x_i,x_j),
for all x_1,x_2,x_3,x_4 in X. In this paper we provide
characterizations of the class of (i,j)-selective operations. We
also investigate some subclasses by adding algebraic properties such
as associativity or bisymmetry.
University of Luxembourg - UL ; Fonds National de la Recherche - FnR
Researchers
http://hdl.handle.net/10993/35991
10.1007/s10474-018-0897-5

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