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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Four algebraic spectral properties
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by Frederick W. Call PDF
Proc. Amer. Math. Soc. 98 (1986), 576-578 Request permission

Abstract:

For a commutative ring, we examine the four concepts of flat surjections, exact torsion functors, induced closed affine subschemes, and type I BSP torsion theories. We show they are equivalent, they correspond to closed subsets of Spec that are also stable under generalization, and thus are spectral in nature.
References
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Additional Information
  • © Copyright 1986 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 98 (1986), 576-578
  • MSC: Primary 13D30; Secondary 14A15, 16A63
  • DOI: https://doi.org/10.1090/S0002-9939-1986-0861753-4
  • MathSciNet review: 861753