A characterization of n-associative, monotone, idempotent functions on an interval that have neutral elements

Reference : A characterization of n-associative, monotone, idempotent functions on an interval th...


	Document type :	Scientific journals : Article
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Mathematics
	To cite this reference:	http://hdl.handle.net/10993/29222

Title :	A characterization of n-associative, monotone, idempotent functions on an interval that have neutral elements
Language :	English
Author, co-author :	Kiss, Gergely [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
	Somlai, Gabor [Eötvös Loránd University]
Publication date :	Jun-2018
Journal title :	Semigroup Forum
Publisher :	Springer
Peer reviewed :	Yes (verified by ORBi^lu)
Audience :	International
ISSN :	0037-1912
e-ISSN :	1432-2137
City :	New York
Country :	NY
Keywords :	[en] 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.
Funders :	University of Luxembourg - UL
Target :	Researchers ; Professionals ; Students
Permalink :	http://hdl.handle.net/10993/29222
	also: http://hdl.handle.net/10993/31581
DOI :	10.1007/s00233-017-9876-3
Other URL :	http://arxiv.org/pdf/1609.00279v1.pdf

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