On almost-quasi-commutative rings

H. Bell; A. Klein

doi:10.1007/s10474-008-7238-z

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Acta Mathematica Hungarica

Volume/Issue:: Volume 122: Issue 1-2

On almost-quasi-commutative rings

Authors: H. Bell¹ and A. Klein²

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¹ Brock University Dept. of Mathematics St. Catharines ON Canada L2S 3A1
² Tel Aviv University School of Mathematical Sciences Tel Aviv Israel 69978

DOI:: https://doi.org/10.1007/s10474-008-7238-z

Page Count:: 121–130

Publication Date:: 01 Jan 2009

Online Publication Date:: 13 Oct 2008

Article Category:: Research Article

Article Info

Page Count:: 121–130

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Abstract

A ring R is called almost-quasi-commutative if for each x, y ∈ R there exist nonzero relatively prime integers j = j(x, y) and k = k(x, y) and a non-negative integer n = n(x, y) such that jxy = k(yx)ⁿ. We establish some general properties of such rings, study commutativity of almost-quasi-commutative R, and consider several examples.