New-from-old full dualities via axiomatisation
Rings and Algebras
2018-01-31 v2 Logic
Abstract
We clarify what it means for two full dualities based on the same algebra to be different. Our main theorem gives conditions on two different alter egos of a finite algebra under which, if one yields a full duality, then the other does too. We use this theorem to obtain a better understanding of several important examples from the theory of natural dualities. Throughout the paper, a fundamental role is played by the universal Horn theory of the dual classes.
Keywords
Cite
@article{arxiv.1511.03001,
title = {New-from-old full dualities via axiomatisation},
author = {Brian A. Davey and Jane G. Pitkethly and Ross Willard},
journal= {arXiv preprint arXiv:1511.03001},
year = {2018}
}