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Reflexivity of rings via nilpotent elements

Reflexivity of rings via nilpotent elements

An ideal I of a ring R is called left N-reflexive if for any a ∈ nil(R), b ∈ R, being aRb ⊆ I implies bRa ⊆ I where nil(R) is the set of all nilpotent elements of R. The ring R is called left N-reflexive if the zero ideal …