Duality for noncommutative frames
Rings and Algebras
2019-12-02 v1 General Topology
Abstract
We characterize the left-handed noncommutative frames that arise from sheaves on topological spaces. Further, we show that a general left-handed noncommutative frame arises from a sheaf on the dissolution locale associated to the commutative shadow of . Both constructions are made precise in terms of dual equivalences of categories, similar to the duality result for strongly distributive skew lattices in arXiv:1206.5848.
Keywords
Cite
@article{arxiv.1911.12625,
title = {Duality for noncommutative frames},
author = {Karin Cvetko-Vah and Jens Hemelaer and Lieven Le Bruyn},
journal= {arXiv preprint arXiv:1911.12625},
year = {2019}
}
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28 pages