A Remark on Closed Noncommutative Subspaces

Details A Remark on Closed Noncommutative Subspaces A Remark on Closed Noncommutative Subspaces

2005-05-25

arxiv.org/abs/math/0505549v2

Mathematics

Algebraic Geometry

4 pages; AMS-TeX; to appear in Proc. Amer. Math. Soc

Scientific paper

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.

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