Key points are not available for this paper at this time.
The aim of the paper is to characterize the equation Formula: see text, where Formula: see text that is the largest Jacobson radical subring of Formula: see text and Formula: see text is the set of invertible elements of a ring Formula: see text. We show that this equation is closely related to Formula: see text-rings and rings whose elements can be written as the sum of an idempotent and an element from Formula: see text. After presenting several characterizations and properties of this equation, we consider the rings satisfying the equation Formula: see text within many well-studied classes of rings. Finally, we close the paper with group rings.
Karabacak et al. (2020) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: