## Rocky Mountain Journal of Mathematics

### Finite index conditions in rings

Charles Lanski

#### 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 $R$.

#### Article information

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

Dates
First available in Project Euclid: 2 November 2015

https://projecteuclid.org/euclid.rmjm/1446472429

Digital Object Identifier
doi:10.1216/RMJ-2015-45-4-1177

Mathematical Reviews number (MathSciNet)
MR3418189

Zentralblatt MATH identifier
1336.16018

#### Citation

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. https://projecteuclid.org/euclid.rmjm/1446472429