DocumentCode
603512
Title
On the Semigroup of Equational Classes of Finite Functions
Author
Almeida, Jorge ; Couceiro, M. ; Waldhauser, T.
Author_Institution
Fac. de Cienc., Univ. do Porto, Porto, Portugal
fYear
2013
fDate
22-24 May 2013
Firstpage
243
Lastpage
247
Abstract
We consider the set of equtional 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.
Keywords
functions; group theory; class composition operation; equational class set; finite functions; profinite; semigroup structure; topological semigroup; Boolean functions; Cloning; Equations; Lattices; Measurement; Topology;
fLanguage
English
Publisher
ieee
Conference_Titel
Multiple-Valued Logic (ISMVL), 2013 IEEE 43rd International Symposium on
Conference_Location
Toyama
ISSN
0195-623X
Print_ISBN
978-1-4673-6067-8
Electronic_ISBN
0195-623X
Type
conf
DOI
10.1109/ISMVL.2013.48
Filename
6524671
Link To Document