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Almost Bézout Domains, II
Journal article   Open access   Peer reviewed

Almost Bézout Domains, II

D. D Anderson, K. R Knopp and Rebecca L Lewin
Journal of algebra, Vol.167(3), pp.547-556
1994
DOI: 10.1006/jabr.1994.1201
url
https://doi.org/10.1006/jabr.1994.1201View
Published (Version of record) Open Access

Abstract

This paper is a continuation of the investigation of almost Bézout domains (for a , b isin; R - {0}, there exists an n ≥ 1 with ( a n , b n ) principal) begun by Zafrullah and the first author. We show that a nearly Bézout domain (for each nonzero finitely generated ideal I of R , there exists an n ≥ 1 so that the ideal I n = ({ i n | i ∈ I }) is principal) is almost Bézout and give an example of an almost Bézout domain that is not nearly Bézout.

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