Title :
Clones of Partial Cofunctions
Author :
Kerkhoff, S. ; Schneider, F.M.
Author_Institution :
Inst. fur Algebra, Tech. Univ. Dresden, Dresden, Germany
Abstract :
We introduce and study clones of partial cofunctions on sets of arbitrary cardinality. In the process, we outline a general Galois theory similar to Pol-Inv, show some elementary results about the essential arity of clones of partial cofunctions, take a closer look at partial idempotent cofunctions, characterize all minimal clones of partial cofunctions, and show that the join of all minimal clones is the full clone (provided that the Axiom of Choice is assumed).
Keywords :
Galois fields; functions; Pol-Inv; arbitrary cardinality; clone theory; clones arity; general Galois theory; minimal clones join; partial cofunction clones; partial idempotent cofunctions; universal algebra; Abstracts; Algebra; Cloning; Electronic mail; Equations; Indexes; Lattices; Galois connection; clone; coclone; partial cofunction;
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.2013.18
