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Minimal partial clones
Published online by Cambridge University Press: 17 April 2009
Abstract
Let A be a finite set. A partial clone on A is a composition closed set of operations containing all projections. It is well known that the partial clones on A, ordered by inclusion, form a lattice. We show that the minimal partial clones on A are:
(a) minimal clones of full operations or
(b) generated by partial projections defined on a totally reflexive and totally symmetric domain.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 44 , Issue 3 , December 1991 , pp. 405 - 415
- Copyright
- Copyright © Australian Mathematical Society 1991
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