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- W2022798180 abstract "Many well-known closure operations such as integral closure and tight closure are both semiprime operations and Nakayama closures. In this short note, we begin the study on the overlap between Nakayama closures and semiprime operations. We exhibit examples of closure operations which are either semiprime or Nakayama but not the other. In the case of a discrete valuation ring we show that a closure operation $c$ is Nakayama if and only if it is semiprime and [ (0)^c=bigcap_{n geq 1} (I^n)^c ] for any ideal $I$." @default.
- W2022798180 created "2016-06-24" @default.
- W2022798180 creator A5040598739 @default.
- W2022798180 date "2014-09-01" @default.
- W2022798180 modified "2023-09-25" @default.
- W2022798180 title "When is a Nakayama closure semiprime?" @default.
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- W2022798180 doi "https://doi.org/10.1216/jca-2014-6-3-439" @default.
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