On almost-quasi-commutative rings

H. E. Bell; A. A. Klein

doi:10.1007/s10474-008-7238-z

On almost-quasi-commutative rings

H. E. Bell
, A. A. Klein

School of Mathematical Sciences

Brock University

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

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.

Original language	English
Pages (from-to)	121-130
Number of pages	10
Journal	Acta Mathematica Hungarica
Volume	122
Issue number	1-2
DOIs	https://doi.org/10.1007/s10474-008-7238-z
State	Published - Jan 2009

Keywords

Almost-quasi-commutative ring
Commutator ideal
Generalized quasi-periodic ring
J-ring
Periodic ring

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10.1007/s10474-008-7238-z

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AB - 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.

KW - Almost-quasi-commutative ring

KW - Commutator ideal

KW - Generalized quasi-periodic ring

KW - J-ring

KW - Periodic ring

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On almost-quasi-commutative rings

Abstract

Keywords

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