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A Remark on Closed Noncommutative Subspaces

Edward S. Letzter
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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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Edward S. Letzter. 2005-07-19. A Remark on Closed Noncommutative Subspaces. https://arxiv.org/abs/math/0505549

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