Lifting Property of the Jacobson Radical in Associative Pairs
Bulletin of the Malaysian Mathematical Society, Tome 34 (2011) no. 3
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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.
Classification :
16U99, 16D80.
@article{BMMS_2011_34_3_a9,
author = {Li Bingjun and Feng Lianggui},
title = {Lifting {Property} of the {Jacobson} {Radical} in {Associative} {Pairs}},
journal = {Bulletin of the Malaysian Mathematical Society},
year = {2011},
volume = {34},
number = {3},
url = {http://geodesic.mathdoc.fr/item/BMMS_2011_34_3_a9/}
}
Li Bingjun; Feng Lianggui. Lifting Property of the Jacobson Radical in Associative Pairs. Bulletin of the Malaysian Mathematical Society, Tome 34 (2011) no. 3. http://geodesic.mathdoc.fr/item/BMMS_2011_34_3_a9/