A Remark on Closed Noncommutative Subspaces

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

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Algebraic Geometry, Rings and Algebras, 14A22

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http://salesiana.dossiersoluciones.com/handle/123456789/75316

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0505549
 http://arxiv.org/abs/math/0505549

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arXiv