Minimal clones with many majority operations
Mike Behrisch, Tam\'as Waldhauser
TL;DR
This paper introduces two new minimal clones that contain the highest known numbers of majority operations, specifically 26 and 78, surpassing all previously known examples.
Contribution
It constructs two minimal clones with record numbers of majority operations, advancing the understanding of clone structures in universal algebra.
Findings
Two minimal clones with 26 and 78 majority operations
These are the largest known examples of such clones
The results expand the catalog of minimal clones with many majority operations
Abstract
We present two minimal clones containing 26 and 78 majority operations respectively, more than any other previously known example.
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Taxonomy
TopicsAdvanced Algebra and Logic · semigroups and automata theory · graph theory and CDMA systems