Abstract
The aim of the present paper is to characterize associative rings R with unity in which 1+eR(1-e) in terms of some important class of rings in the literature (for example, NR-rings, UU-rings, UJ-rings, UR-rings, exchange rings, 2-primal rings), where e2=e∈ R and U(R) is the set of units of R.
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