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 [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 ORBi^{lu}) | |

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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