A remark on closed noncommutative subspaces

Letzter, E.

doi:10.1090/S0002-9939-06-08437-1

A remark on closed noncommutative subspaces
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by E. S. Letzter PDF

Proc. Amer. Math. Soc. 135 (2007), 1-4 Request permission

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.

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