Math 2.0

General algebraic systems Clones and operations Concept

Minimal clone

Summary

A minimal clone on a set AA is a clone that lies just above the clone of projections in the lattice of clones. It is generated by any one of its non-projection operations. On a finite set, every clone other than the projection clone contains a minimal clone, and there are only finitely many minimal clones. Minimal clones are the atoms of the clone lattice, dual to the maximal clones.

Further reading

  1. Web https://en.wikipedia.org/wiki/Clone_(algebra)
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MSC08A40
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