Galois theory for semiclones
Rings and Algebras
2022-10-13 v1 Logic
Abstract
We present a Galois theory connecting finitary operations with pairs of finitary relations one of which is contained in the other. The Galois closed sets on both sides are characterised as locally closed subuniverses of the full iterative function algebra (semiclones) and relation pair clones, respectively. Moreover, we describe the modified closure operators if only functions and relation pairs of a certain bounded arity, respectively, are considered.
Cite
@article{arxiv.1509.06355,
title = {Galois theory for semiclones},
author = {Mike Behrisch},
journal= {arXiv preprint arXiv:1509.06355},
year = {2022}
}
Comments
38 pages; supported by the Austrian Science Fund (FWF) under grant I836-N23