LIE IDEALS, MORITA CONTEXT AND GENERALIZED （α β）-DERIVATIONS

LIE IDEALS, MORITA CONTEXT AND GENERALIZED （α β）-DERIVATIONS

A classical problem in ring theory is to study conditions under which a ring is forced to become commutative. Stimulated from Jacobson＇s famous result, several tech- niques are developed to achieve this goal. In the present note, we use a pair of rings, which are the ingredients of a Morita context,...

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Veröffentlicht in:数学物理学报：B辑英文版 2013 (4), p.1059-1070
1. Verfasser: S. Khalid NA UMAN Nadeem ur REHMAN R. M. AL-OMARY
Format: Artikel
Sprache:eng
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Lie理想
Morita关系
广义
理想环
素数
跟踪
高科技技术
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description A classical problem in ring theory is to study conditions under which a ring is forced to become commutative. Stimulated from Jacobson＇s famous result, several tech- niques are developed to achieve this goal. In the present note, we use a pair of rings, which are the ingredients of a Morita context, and obtain that if one of the ring is prime with the generalized （α β）-derivations that satisfy certain conditions on the trace ideal of the ring, which by default is a Lie ideal, and the other ring is reduced, then the trace ideal of the reduced ring is contained in the center of the ring. As an outcome, in case of a semi-projective Morita context, the reduced ring becomes commutative.
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source ScienceDirect Journals (5 years ago - present); Alma/SFX Local Collection
subjects Lie理想
Morita关系
广义
理想环
素数
跟踪
高科技技术
title LIE IDEALS, MORITA CONTEXT AND GENERALIZED （α β）-DERIVATIONS
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