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36th International Symposium on Multiple-Valued Logic (ISMVL'06)
Commuting Hyperoperations
Singapore
May 17-May 20
ISBN: 0-7695-2532-6
Jovanka Pantovic, University of Novi Sad, Serbia and Montenegro
Gradimir Vojvodic, University of Novi Sad, Serbia and Montenegro
Centralizer of a set of hyperoperations F is a clone of hyperoperations that commute with all hyperoperations from F. There are several ways to define this commuting operator which imply several definitions of centralizers of sets of hyperoperations and they are considered in this paper. In order to obtain their properties, we discuss the definition of graph of hyperoperation, relation on A^n ? (P(A) \ {0}) and lifting of such relation to (P(A) \ {0}^n+1.
Citation:
Jovanka Pantovic, Gradimir Vojvodic, "Commuting Hyperoperations," ismvl, pp.21, 36th International Symposium on Multiple-Valued Logic (ISMVL'06), 2006
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