Title :
A Study on Essentially Minimal Clones
Author :
Machida, H. ; Rosenberg, I.G.
Author_Institution :
Int. Christian Univ., Tokyo, Japan
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;
Conference_Titel :
Multiple-Valued Logic (ISMVL), 2013 IEEE 43rd International Symposium on
Conference_Location :
Toyama
Print_ISBN :
978-1-4673-6067-8
Electronic_ISBN :
0195-623X
DOI :
10.1109/ISMVL.2013.8
