Finite index conditions in rings

Charles Lanski

doi:10.1216/RMJ-2015-45-4-1177

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Home > Journals > Rocky Mountain J. Math. > Volume 45 > Issue 4 > Article

2015 Finite index conditions in rings

Charles Lanski

Rocky Mountain J. Math. 45(4): 1177-1195 (2015). DOI: 10.1216/RMJ-2015-45-4-1177

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Abstract

This paper determines the structure of an associative ring $R$ when either all of its additive subgroups, all of its subrings, all of its (right) ideals, or all of its Lie ideals have finite additive index in $R$.