Article (Scientific journals)
A characterization of n-associative, monotone, idempotent functions on an interval that have neutral elements
Kiss, Gergely; Somlai, Gabor
2018In Semigroup Forum
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Keywords :
Quasitrivial; Ordered semigroups; n-associativity; Idempotency; Monotonicity; Neutral element
Abstract :
[en] We investigate monotone idempotent n-ary semigroups and provide a generalization of the Czogala–Drewniak Theorem, which describes the idempotent monotone associative functions having a neutral element. We also present a complete characterization of idempotent monotone n-associative functions on an interval that have neutral elements.
Disciplines :
Mathematics
Author, co-author :
Kiss, Gergely ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
Somlai, Gabor;  Eötvös Loránd University
External co-authors :
yes
Language :
English
Title :
A characterization of n-associative, monotone, idempotent functions on an interval that have neutral elements
Publication date :
June 2018
Journal title :
Semigroup Forum
ISSN :
1432-2137
Publisher :
Springer, New York, United States - New York
Peer reviewed :
Peer Reviewed verified by ORBi
Funders :
University of Luxembourg - UL
Available on ORBilu :
since 02 January 2017

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