The Injective Spectrum of a Noncommutative Space |
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Authors: | Christopher J. Pappacena |
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Affiliation: | Department of Mathematics, Baylor University, Waco, Texas, 76798, f1 |
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Abstract: | For a noncommutative space X, we study Inj(X), the set of isomorphism classes of indecomposable injective X-modules. In particular, we look at how this set, suitably topologized, can be viewed as an underlying “spectrum” for X. As applications we discuss noncommutative notions of irreducibility and integrality, and a way of associating an integral subspace of X to each element of Inj(X) which behaves like a “weak point.” |
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Keywords: | injective spectrum noncommutative space reduced space weak point |
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