STAR OPERATIONS ON STRONG MORI DOMAINS
- Authors
- Chang, Gyu Whan; Houston, Evan; Park, Mi Hee
- Issue Date
- 2016
- Publisher
- UNIV HOUSTON
- Keywords
- (t-)Nagata ring; Star operation; Strong Mori domain; W-operation
- Citation
- HOUSTON JOURNAL OF MATHEMATICS, v.42, no.2, pp 427 - 446
- Pages
- 20
- Journal Title
- HOUSTON JOURNAL OF MATHEMATICS
- Volume
- 42
- Number
- 2
- Start Page
- 427
- End Page
- 446
- URI
- https://scholarworks.bwise.kr/cau/handle/2019.sw.cau/8742
- ISSN
- 0362-1588
- Abstract
- Let D be a strong Mori domain, S(D) the set of star operations on D, and S-w (D) = {* is an element of S(D) vertical bar w <= *}. We show that vertical bar S-w(D)vertical bar = Pi vertical bar S (D-p)vertical bar, where the product is taken over all maximal t-ideals P of D; we characterize when vertical bar S-w,(D)vertical bar = 2 or 3; and we investigate S-w(D[X]), proving that vertical bar S-w(D[X1)vertical bar - vertical bar S-w(D)vertical bar when S-w(D[X]) is finite.
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Collections - College of Natural Sciences > Department of Mathematics > 1. Journal Articles
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