(?, 2)-Primary Ideals of a Commutative Ring

Abstract

In Theorem 6 of [1], if R is a von Neumann regular ring, then every 2-prime ideal of R is a prime ideal. But the converse of this implication does not hold. Thus, we correct Theorem 6 of [1] as follows: Theorem 6. Let R be a ring. If R is von Neumann regular, then every 2-prime ideal of R is a prime ideal. P r o o f . © 2020, Mathematical Institute, Academy of Sciences of Cz.