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A remark on closed noncommutative subspaces
Author(s):
E.
S.
Letzter
Journal:
Proc. Amer. Math. Soc.
135
(2007),
1-4.
MSC (2000):
Primary 18E15;
Secondary 14A22
Posted:
August 16, 2006
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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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- 3.
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Additional Information:
E.
S.
Letzter
Affiliation:
Department of Mathematics, Temple University, Philadelphia, Pennsylvania 19122
Email:
letzter@math.temple.edu
DOI:
10.1090/S0002-9939-06-08437-1
PII:
S 0002-9939(06)08437-1
Received by editor(s):
May 25, 2005
Received by editor(s) in revised form:
July 19, 2005
Posted:
August 16, 2006
Additional Notes:
The author thanks the Department of Mathematics at the University of Pennsylvania for its hospitality; the research for this paper was undertaken while he was a visitor on sabbatical there. The author is grateful for support during this period from a Temple University Research and Study Leave Grant. This research was also supported in part by a grant from the National Security Agency.
Communicated by:
Martin Lorenz
Copyright of article:
Copyright
2006,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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