Rocky Mountain Journal of Mathematics

Finite index conditions in rings

Charles Lanski

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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 $R$.

Article information

Rocky Mountain J. Math., Volume 45, Number 4 (2015), 1177-1195.

First available in Project Euclid: 2 November 2015

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 16D25: Ideals 16D70: Structure and classification (except as in 16Gxx), direct sum decomposition, cancellation 16P70: Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence 16W10: Rings with involution; Lie, Jordan and other nonassociative structures [See also 17B60, 17C50, 46Kxx]


Lanski, Charles. Finite index conditions in rings. Rocky Mountain J. Math. 45 (2015), no. 4, 1177--1195. doi:10.1216/RMJ-2015-45-4-1177.

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