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A NOTE ON LPI DOMAINS
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 Title & Authors
A NOTE ON LPI DOMAINS
Hu, Kui; Wang, Fanggui; Chen, Hanlin;
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 Abstract
A domain is called an LPI domain if every locally principal ideal is invertible. It is proved in this note that if D is a LPI domain, then D[X] is also an LPI domain. This fact gives a positive answer to an open question put forward by D. D. Anderson and M. Zafrullah.
 Keywords
faithfully flat module;LPI domain;polynomial ring;
 Language
English
 Cited by
1.
Two questions on domains in which locally principal ideals are invertible, Journal of Algebra and Its Applications, 2017, 16, 06, 1750112  crossref(new windwow)
 References
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7.
M. Zafrullah, Flatness and invertibility of an ideal, Comm. Algebra 18 (1990), no. 7, 2151-2158. crossref(new window)