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A characterization of local Noetherian domains which admit only finitely many star operations: The infinite residue field case
- Authors
- Houston, Evan; Park, Mi Hee
- Issue Date
- Jun-2014
- Publisher
- ACADEMIC PRESS INC ELSEVIER SCIENCE
- Keywords
- Noetherian domain; Star operation
- Citation
- JOURNAL OF ALGEBRA, v.407, pp 105 - 134
- Pages
- 30
- Journal Title
- JOURNAL OF ALGEBRA
- Volume
- 407
- Start Page
- 105
- End Page
- 134
- ISSN
- 0021-8693
1090-266X
- Abstract
- We characterize local Noetherian domains R with infinite residue field which admit only finitely many star (prime) operations. We further show that a positive integer n is equal to the number of star operations on such an R if and only if n = 2,4 or an odd positive integer. (c) 2014 Elsevier Inc. All rights reserved.
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Collections - College of Natural Sciences > Department of Mathematics > 1. Journal Articles
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