DocumentCode
603502
Title
Clones of Partial Cofunctions
Author
Kerkhoff, S. ; Schneider, F.M.
Author_Institution
Inst. fur Algebra, Tech. Univ. Dresden, Dresden, Germany
fYear
2013
fDate
22-24 May 2013
Firstpage
186
Lastpage
191
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;
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.2013.18
Filename
6524661
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