Let R be a commutative ring with 1≠ 0 and I be a proper ideal of R. Then I is called a 2-
absorbing ideal of R if whenever abc∈ I for some a, b, c∈ R, then ab∈ I or bc∈ I or ac∈ I …

In this paper, we present the notion of perfect ideal of a seminearring S and prove that the
kernel of a seminearring homomorphism is a perfect ideal. We show that the quotient …

Let R be a commutative ring with a nonzero identity. A proper ideal I of R is said to be a 1-
absorbing prime ideal if xyz∈ I for some nonunits x, y, z∈ R, then xy∈ I or z∈ I. It is well …

Abstract In 2011, David F. Anderson and Ayman Badawi defined n-absorbing ideals, and
introduced the invariant ω R (I), which is the minimal integer n for which I is an n-absorbing …

In this paper, we investigate 2-absorbing ideals of commutative semirings and prove that if 𝔞
is a nonzero proper ideal of a subtractive valuation semiring S then 𝔞 is a 2-absorbing ideal …

This paper investigates the class of rings in which every nn-absorbing ideal is a prime ideal,
called nn-AB ring, where nn is a positive integer. We give a characterization of an nn-AB …

A famous result due to LS Levy provides a classification of all finitely generated
indecomposable modules over Dedekind-like rings. This motivates us to outline an …

Let R be a commutative ring with identity and Y⊆ Spec (R). In this paper, we pay attention to
the concept of-filters. First, as a generalization of a prime-filter, we define the concept of 2 …

We characterize commutative semigroups in which 2-absorbing ideals are maximal. We
introduce the concept of 2-AB semigroups in which 2-absorbing ideals are prime and …

Let R be a commutative ring with a nonzero identity. Badawi et al.(Bull Korean Math Soc 51
(4): 1163–1173, 2014) defined the concept of 2-absorbing primary ideal as follows: a proper …