Integral Non-commutative Spaces
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S. Paul Smith
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Article
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2001
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Elsevier Science
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English
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A non-commutative space X is a Grothendieck category Mod X. We say X is integral if there is an indecomposable injective X-module X such that its endomorphism ring is a division ring and every X-module is a subquotient of a direct sum of copies of X . A noetherian scheme is integral in this sense if