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2010 Excellent Extension and Comparability of Regular Rings
Chaoling Huang, Xiaoguang Yan
Afr. Diaspora J. Math. (N.S.) 10(2): 1-6 (2010).

Abstract

Let $S$ be an excellent extension of a (von Neumann) regular ring $R$. In this note, we study comparability of $S$ related to comparability of $R$. We show that if $R$ has the $n$-unperforation property, then $R$ satisfies $s$-comparability, almost comparability or weak comparability if and only if so does $S$.

Citation

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Chaoling Huang. Xiaoguang Yan. "Excellent Extension and Comparability of Regular Rings." Afr. Diaspora J. Math. (N.S.) 10 (2) 1 - 6, 2010.

Information

Published: 2010
First available in Project Euclid: 29 November 2010

zbMATH: 1243.16009
MathSciNet: MR2774254

Subjects:
Primary: 16D10
Secondary: 16E50

Keywords: $s$-comparability , almost comparability , excellent extension , weak comparability

Rights: Copyright © 2010 Mathematical Research Publishers

Vol.10 • No. 2 • 2010
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