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Proceedings of the American Mathematical Society

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

 

 

Four algebraic spectral properties


Author: Frederick W. Call
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
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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.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1986-0861753-4
Keywords: Flat surjection, torsion theory, affine scheme, exact torsion functor, flat epimorphism
Article copyright: © Copyright 1986 American Mathematical Society