A Remark on Closed Noncommutative Subspaces
Algebraic Geometry
2007-05-23 v2 Rings and Algebras
Abstract
Given an abelian category with arbitrary products, arbitrary coproducts, and a generator, we show that the closed subspaces (in the sense of A. L. Rosenberg) are parameterized by a suitably defined poset of ideals in the generator. In particular, the collection of closed subspaces is itself a small poset.
Keywords
Cite
@article{arxiv.math/0505549,
title = {A Remark on Closed Noncommutative Subspaces},
author = {Edward S. Letzter},
journal= {arXiv preprint arXiv:math/0505549},
year = {2007}
}
Comments
4 pages; AMS-TeX; to appear in Proc. Amer. Math. Soc