Coarse classification of binary minimal clones
Rings and Algebras
2023-01-31 v1
Abstract
We classify binary minimal clones into seven categories: affine algebras, rectangular bands, -cyclic groupoids, spirals, non-Taylor partial semilattices, melds, and dispersive algebras. Each category has nice enough properties to guarantee that any clone of one of these types contains a minimal clone of the same type.
Cite
@article{arxiv.2301.12631,
title = {Coarse classification of binary minimal clones},
author = {Zarathustra Brady},
journal= {arXiv preprint arXiv:2301.12631},
year = {2023}
}
Comments
55 pages, submitted to Journal of Multi-valued Logic and Soft Computing