Volume 34 • Number 3 • 2011   • Lifting Property of the Jacobson Radical in Associative Pairs Li Bingjun and Feng Lianggui Abstract. 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. Full text: PDF