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A remark on closed noncommutative subspaces

Letzter, ES
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Journal Article
Date
2007-01-01
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math.AG
 math.AG
 math.RA
 14A22
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http://hdl.handle.net/20.500.12613/6102
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0505549v2.pdf
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10.1090/S0002-9939-06-08437-1
Abstract
Given an abelian category with arbitrary products, arbitrary co-products, 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. © 2006 American Mathematical Society.
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American Mathematical Society (AMS)
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Proceedings of the American Mathematical Society
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