caa a22 4500 445813709 CHVBK 20180317145219.0 cr unu---uuuuu 170323e20110301xx s 000 0 eng 10.1007/s11083-010-9150-8 doi (NATIONALLICENCE)springer-10.1007/s11083-010-9150-8 Associative Polynomial Functions over Bounded Distributive Lattices [Elektronische Daten] [Miguel Couceiro, Jean-Luc Marichal] The associativity property, usually defined for binary functions, can be generalized to functions of a given fixed arity n ⩾ 1 as well as to functions of multiple arities. In this paper, we investigate these two generalizations in the case of polynomial functions over bounded distributive lattices and present explicit descriptions of the corresponding associative functions. We also show that, in this case, both generalizations of associativity are essentially the same. Springer Science+Business Media B.V., 2010 Bounded distributive lattice nationallicence Polynomial function nationallicence Associativity nationallicence Idempotency nationallicence Range-idempotency nationallicence Functional equation nationallicence Couceiro Miguel Mathematics Research Unit, FSTC, University of Luxembourg, 6, rue Coudenhove-Kalergi, 1359, Luxembourg-Kirchberg, Luxembourg aut Marichal Jean-Luc Mathematics Research Unit, FSTC, University of Luxembourg, 6, rue Coudenhove-Kalergi, 1359, Luxembourg-Kirchberg, Luxembourg aut Order Springer Netherlands 28/1(2011-03-01), 1-8 0167-8094 28:1<1 2011 28 11083 https://doi.org/10.1007/s11083-010-9150-8 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11083-010-9150-8 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Couceiro Miguel Mathematics Research Unit, FSTC, University of Luxembourg, 6, rue Coudenhove-Kalergi, 1359, Luxembourg-Kirchberg, Luxembourg aut NATIONALLICENCE 700 1- Marichal Jean-Luc Mathematics Research Unit, FSTC, University of Luxembourg, 6, rue Coudenhove-Kalergi, 1359, Luxembourg-Kirchberg, Luxembourg aut NATIONALLICENCE 773 0- Order Springer Netherlands 28/1(2011-03-01), 1-8 0167-8094 28:1<1 2011 28 11083 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer