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Title
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Tensor product of dualizing complexes over a field
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Author
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Abstract
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| Let k be a field, and let X and Y be two locally noetherian k-schemes (respectively, k-formal schemes) with dualizing complexes R-X and R-Y, respectively. We show that R-X boxed times(k) R-Y (respectively, its derived completion) is a dualizing complex over X x(k) Y if and only if X x(k) Y is locally noetherian of finite Krull dimension. |
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Language
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English
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Source (journal)
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Journal of Commutative Algebra
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Publication
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2018
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ISSN
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1939-2346
[Online]
1939-0807
[print]
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DOI
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10.1216/JCA-2018-10-2-243
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Volume/pages
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10
:2
(2018)
, p. 243-263
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ISI
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000441443700006
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Full text (Publisher's DOI)
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Full text (publisher's version - intranet only)
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