On the Semigroup of Equational Classes of Finite Functions

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Date
2013
Dewey
Algèbre
Sujet
Cloning; Boolean functions; Measurement; Lattices; Equations, Topology
DOI
http://dx.doi.org/10.1109/ISMVL.2013.48
Conference name
43rd International Symposium on Multiple-Valued Logic (ISMVL 2013)
Conference date
05-2013
Conference city
Toyama
Conference country
Japan
Book title
2013 IEEE 43rd International Symposium on Multiple-Valued Logic (ISMVL)
Author
Waho, Takao
Publisher
IEEE
Publisher city
Piscataway, NJ
Year
2013
Pages number
354
ISBN
978-1-4673-6067-8
URI
https://basepub.dauphine.fr/handle/123456789/16639
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Author
Jorge, Almeida
159854 University of Porto
Couceiro, Miguel
989 Laboratoire d'analyse et modélisation de systèmes pour l'aide à la décision [LAMSADE]
Waldhauser, Tamás
409319 Bolyai Institute [Szeged]
Type
Communication / Conférence
Item number of pages
243-247
Abstract (EN)
We consider the set of equational classes of finite functions endowed with the operation of class composition. Thus defined, this set gains a semigroup structure. This paper is a contribution to the understanding of this semigroup. We present several interesting properties of this semigroup. In particular, we show that it constitutes a topological semigroup that is profinite.