Extending the Ehresmann-Schein-Nambooripad Theorem
Rings and Algebras
2010-03-26 v3 Category Theory
Abstract
We extend the `join-premorphisms' part of the Ehresmann-Schein-Nambooripad Theorem to the case of two-sided restriction semigroups and inductive categories, following on from a result of Lawson (1991) for the `morphisms' part. However, it is so-called `meet-premorphisms' which have proved useful in recent years in the study of partial actions. We therefore obtain an Ehresmann-Schein-Nambooripad-type theorem for meet-premorphisms in the case of two-sided restriction semigroups and inductive categories. As a corollary, we obtain such a theorem in the inverse case.
Cite
@article{arxiv.0804.4702,
title = {Extending the Ehresmann-Schein-Nambooripad Theorem},
author = {Christopher Hollings},
journal= {arXiv preprint arXiv:0804.4702},
year = {2010}
}
Comments
23 pages; final section on Szendrei expansions removed; further reordering of material