Abstract
Let be a commutative ring. When is a subgroup of an ideal of ? We investigate this problem for the rings and . In the cases of and , our results give, for any given subgroup of these rings, a computable criterion for the problem under consideration. We also compute the probability that a randomly chosen subgroup from is an ideal.
Citation
Sunil K. Chebolu. Christina L. Henry. "When is a subgroup of a ring an ideal?." Involve 9 (3) 503 - 516, 2016. https://doi.org/10.2140/involve.2016.9.503
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