Acta Mathematica Hungarica
Volume/Issue:
Volume 96: Issue 1-2
Almost-Commutativity in Rings
Authors: H. Bell 1 and A. Klein 2
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  • 1 BROCK UNIVERSITY DEPARTMENT OF MATHEMATICS ST. CATHARINES ONTARIO CANADA L2S 3A1 ST. CATHARINES ONTARIO CANADA L2S 3A1
  • 2 TEL AVIV UNIVERSITY SCHOOL OF MATHEMATICAL SCIENCES TEL AVIV 69978 ISRAEL TEL AVIV 69978 ISRAEL
DOI:
https://doi.org/10.1023/a:1015665612246
Page Count:
99–103
Publication Date:
01 Jul 2002
Online Publication Date:
03 Nov 2004
Article Category:
Research Article
Restricted access

Abstract  

A subset X of the ring

\documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \usepackage{bbm} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} $$R$$ \end{document}
is called almost commutative if
\documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \usepackage{bbm} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} $$X\backslash C_R \left( a \right)$$ \end{document}
is finite for all
\documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \usepackage{bbm} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} $$a \in X$$ \end{document}
. We study commutativity in rings in which certain infinite sets of zero divisors are almost commutative.

Cover Acta Mathematica Hungarica
Acta Mathematica Hungarica
Print ISSN:
0236-5294
Online ISSN:
1588-2632
Keywords:
almost-commutativity; zero divisors; periodic rings

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