Reference : A characterization of n-associative, monotone, idempotent functions on an interval th...
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/29222
A characterization of n-associative, monotone, idempotent functions on an interval that have neutral elements
English
Kiss, Gergely mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Somlai, Gabor mailto [Eötvös Loránd University]
Jun-2018
Semigroup Forum
Springer
Yes (verified by ORBilu)
International
0037-1912
1432-2137
New York
NY
[en] Quasitrivial ; Ordered semigroups ; n-associativity ; Idempotency ; Monotonicity ; Neutral element
[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.
University of Luxembourg - UL
Researchers ; Professionals ; Students
http://hdl.handle.net/10993/29222
also: http://hdl.handle.net/10993/31581
10.1007/s00233-017-9876-3
http://arxiv.org/pdf/1609.00279v1.pdf

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