DocumentCode
603490
Title
A Study on Essentially Minimal Clones
Author
Machida, H. ; Rosenberg, I.G.
Author_Institution
Int. Christian Univ., Tokyo, Japan
fYear
2013
fDate
22-24 May 2013
Firstpage
117
Lastpage
122
Abstract
For a non-empty set A, a clone C on A is essentially minimal if C is not a minimal clone and is minimal among all clones on A containing essential functions. For a finite A with |A|=A Study on Essentially Minimal Clones (>2), we prove that any essentially minimal clone on A has a generator whose arity is no greater than κ. We also determine all conjugate classes of essentially minimal groupoids on a three-element set.
Keywords
group theory; conjugate class; essentially minimal clones; essentially minimal groupoids; three-element set; Abstracts; Cloning; Educational institutions; Generators; Hafnium; Lattices; Standards; clone; essential function; essentially minimal clone;
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.2013.8
Filename
6524649
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