Star operations on overrings of Noetherian domains
- Authors
- Houston, Evan; Mimouni, Abdeslam; Park, Mi Hee
- Issue Date
- Feb-2016
- Publisher
- ELSEVIER SCIENCE BV
- Citation
- JOURNAL OF PURE AND APPLIED ALGEBRA, v.220, no.2, pp 810 - 821
- Pages
- 12
- Journal Title
- JOURNAL OF PURE AND APPLIED ALGEBRA
- Volume
- 220
- Number
- 2
- Start Page
- 810
- End Page
- 821
- URI
- https://scholarworks.bwise.kr/cau/handle/2019.sw.cau/7285
- DOI
- 10.1016/j.jpaa.2015.07.018
- ISSN
- 0022-4049
1873-1376
- Abstract
- Let R be a Noetherian domain, and let Star(R) denote the set of star operations on R. Call R star regular if IStar(T)vertical bar <=vertical bar Star(R) I for each overring T of R. In the case where Star(R) is finite we show that star regularity becomes a local property, and, further assuming that R is one-dimensional and local with infinite residue field, we prove that R is star regular. We also study the question of whether finiteness of Star(T) for each proper overring of a one-dimensional Noetherian domain R implies finiteness of Star(R). (C) 2015 Elsevier B.V. All rights reserved.
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Collections - College of Natural Sciences > Department of Mathematics > 1. Journal Articles
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