The t-Nagata ring of t-Schreier domains

Jung Wook Lim

doi:10.1007/s13226-015-0138-3

The t-Nagata ring of t-Schreier domains

Jung Wook Lim

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

Let D be an integral domain, X be an indeterminate over D, v (respectively, t) be the so-called v-operation (respectively, t-operation) on D and N_v = {f ∈ D[X]|c(f_v = D}. In this paper, we completely characterize when the t-Nagata ring (Formula presented.) is a Schreier domain.

Original language	English
Pages (from-to)	715-721
Number of pages	7
Journal	Indian Journal of Pure and Applied Mathematics
Volume	46
Issue number	5
DOIs	https://doi.org/10.1007/s13226-015-0138-3
State	Published - 1 Oct 2015

Keywords

t-Nagata ring
t-Schreier domain

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10.1007/s13226-015-0138-3

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AB - Let D be an integral domain, X be an indeterminate over D, v (respectively, t) be the so-called v-operation (respectively, t-operation) on D and Nv = {f ∈ D[X]|c(fv = D}. In this paper, we completely characterize when the t-Nagata ring (Formula presented.) is a Schreier domain.

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The t-Nagata ring of t-Schreier domains

Abstract

Keywords

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