Name
Abstract | ||
|---|---|---|
We introduce and study clones of partial cofunctions on sets of arbitrary cardinality. We start by outlining a general Galois theory similar to Pol-Inv. We then show some elementary results about the essential arity of clones of partial cofunctions, and take a closer look at partial idem-potent cofunctions. Furthermore, we 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). Finally, we discuss how introducing a topology and requiring the partial functions to be continuous changes the scenario. |
Year | Venue | Keywords |
|---|---|---|
2017 | JOURNAL OF MULTIPLE-VALUED LOGIC AND SOFT COMPUTING | Clones,partial cofunctions,coclones,continuous partial functions,Galois connections,partial corelations,essential arities,minimal clones |
Field | DocType | Volume |
Axiom of choice,Discrete mathematics,Mathematical optimization,Arity,Computer science,Cardinality,Galois theory,Idempotence,Partial function | Journal | 28 |
Issue | ISSN | Citations |
SP1 | 1542-3980 | 0 |
PageRank | References | Authors |
0.34 | 4 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Sebastian Kerkhoff | 1 | 22 | 5.93 |
| Friedrich Martin Schneider | 2 | 7 | 4.23 |