Idempotent operators on a finite chain.
Mas Grimalt, Margalida ; Torrens, Joan ; Calvo, Tomasa ; Carbonell, Marc
Mathware and Soft Computing, Tome 6 (1999), p. 235-247 / Harvested from Biblioteca Digital de Matemáticas
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This work is devoted to find and study some possible idempotent operators on a finite chain L. Specially, all idempotent operators on L which are associative, commutative and non-decreasing in each place are characterized. By adding one smoothness condition, all these operators reduce to special combinations of Minimum and Maximum.

Publié le : 1999-01-01
DMLE-ID : 1917 
@article{urn:eudml:doc:39171,
     title = {Idempotent operators on a finite chain.},
     journal = {Mathware and Soft Computing},
     volume = {6},
     year = {1999},
     pages = {235-247},
     zbl = {0954.68139},
     mrnumber = {MR1774569},
     language = {en},
     url = {http://dml.mathdoc.fr/item/urn:eudml:doc:39171}
}

Mas Grimalt, Margalida; Torrens, Joan; Calvo, Tomasa; Carbonell, Marc. Idempotent operators on a finite chain.. Mathware and Soft Computing, Tome 6 (1999) pp. 235-247. http://gdmltest.u-ga.fr/item/urn:eudml:doc:39171/