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Volume 34 • Number 3 • 2011
• Lifting Property of the Jacobson Radical in Associative Pairs
Li Bingjun and Feng Lianggui

An ideal $I$ in a ring $R$ is called a lifting ideal if idempotents can be lifted modulo every left ideal contained in $I.$ In this paper we extend this notion to the context of associative pairs and characterize when the Jacobson radical of an associative pair is a lifting ideal.

2010 Mathematics Subject Classification: 16U99, 16D80.

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