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NOETHERIAN SPECTRUM ON RINGS AND MODULES
Published online by Cambridge University Press: 01 August 2011
Abstract
It is shown that the well-known characterizations of when a commutative ring R has Noetherian spectrum carry over to characterizations of when the set Spec(M) of prime submodules of a finitely generated module M is Noetherian. The symmetric algebra SR(M) of M is used to show that the Noetherian property of Spec(R), and some related properties, pass from the ring R to the finitely generated R-modules.
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- Copyright © Glasgow Mathematical Journal Trust 2011
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