A "quite superfluous" characterisation of the Jacobson radical of an associative ring
arXiv:1707.04601 · doi:10.1080/00927872.2019.1593429
Abstract
It is well-known that the Jacobson radical of a unital ring is its largest superfluous right ideal. It is recorded here that the result carries over to non-unital rings provided the notion of "superfluous" is taken relative to all regular ideals.
arXiv comment3 pages