Uniformly primary ideals |
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| Authors: | Jonathan A. Cox |
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| Affiliation: | a Department of Mathematical Sciences, SUNY Fredonia, Fredonia, NY 14063, United States
b Department of Mathematics, Tennessee Technological University, Box 5054, Cookeville, TN 38505, United States |
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| Abstract: | This article introduces and advances the basic theory of “uniformly primary ideals” for commutative rings, a concept that imposes a certain boundedness condition on the usual notion of “primary ideal”. Characterizations of uniformly primary ideals are provided along with examples that give the theory independent value. Applications are also provided in contexts that are relevant to Noetherian rings. |
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| Keywords: | Primary, 13A15 secondary, 13E05, 13E15 |
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