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https://open.uns.ac.rs/handle/123456789/16104
Title: | Regular sets of operations | Authors: | Machida H. Pantović, Jovanka Rosenberg I. |
Issue Date: | 25-Jul-2012 | Journal: | Journal of Multiple-Valued Logic and Soft Computing | Abstract: | Regular operations on a (2 k-1)-element set are operations having a particular property that induces 1-1 correspondence with the set of all hyperoperations on a k-element set. It implies that the lattice of hyperclones on a k-element set is isomorphic to the lattice of regular sets on a (2 k-1)-element set. We introduce this concept formally and present a Galois connection Inv-rPol for which F = rPol Inv F for each regular set F. Finally, we present all maximal regular sets on a three-element set, determined by Tarasov. © 2012 Old City Publishing, Inc. | URI: | https://open.uns.ac.rs/handle/123456789/16104 | ISSN: | 15423980 |
Appears in Collections: | FTN Publikacije/Publications |
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