Author:
Leung Ka Hin,Man Shing Hing
Abstract
AbstractIn this paper, we show that a commutative Noetherian ring which satisfies the radical formula must be of dimension at most one. From this we give a characterization of commutative Noetherian rings that satisfy the radical formula.
Publisher
Cambridge University Press (CUP)
Cited by
22 articles.
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1. Baer submodules of modules over commutative rings;International Electronic Journal of Algebra;2023-07-10
2. Delta operation on modules, prime and radical submodules and primary decomposition;Hacettepe Journal of Mathematics and Statistics;2019-12-31
3. Semiprime submodules of a module and related concepts;Journal of Algebra and Its Applications;2019-07-05
4. A RELATIONSHIP BETWEEN 2-PRIMAL MODULES AND MODULES THAT SATISFY THE RADICAL FORMULA;International Electronic Journal of Algebra;2015-12-01
5. One dimensional local domains and radical formula;Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry;2014-01-22