Generalization of 2-absorbing quasi primary ideals

Abstract

In this article, we introduce and study the concept of φ-2-absorbing quasi primary ideals in commutative rings. Let R be a commutative ring with a nonzero identity and L(R) be the lattice of all ideals of R. Suppose that φ :In addition to giving many properties of φ-2-absorbing quasi primary ideals, we also use them to characterize von Neumann regular rings.Keywords. weakly 2-absorbing quasi primary ideal, φ-2-absorbing quasi primary ideal, von Neumann regular ring.