… ring with 1^0. In this paper, we introduce the concept of 2-absorbing ideal which is a
generalisation of prime ideal… concept of 2-absorbing ideal which is a generalisation of prime ideal. …

… The notion of 2-absorbing ideals was introduced and … A nonzero proper ideal I of R is called
a 2-absorbing ideal if … -absorbing prime ideal of R that is not a 2-absorbing (prime) ideal of R. …

… 2-absorbing ideal I of R with I3 = 0 is a 2-absorbing ideal of R. We show that every proper
ideal of a commutative ring … a proper ideal of a commutative ring R to be a weakly 2-absorbing …

… In [Citation3, Example 3.11], an example is given of a prime ideal P of a ring R such that P
2 is a 2-absorbing ideal of R, but P 2 is not P-primary (also, see Example 4.11(d)). We next …

… of prime ideals in [2]. We recall from [2] that a nonzero proper ideal I of R is said to be a 2-absorbing
ideal … [1] generalized the notion of 2-absorbing ideals to n-absorbing ideals. A proper …

… E, then 0 ∝ F is a 2-absorbing ideal of R if and only if F is a K-subspace of E. Therefore, for
F = 0, we obtain 0 ∝ 0 is a 2-absorbing ideal and so a prime ideal of R. We conclude that R …

… Let P and Q two prime ideals of R, by Anderson and … 2-absorbing ideal and so a 2-absorbing
primary ideal of R. Since R is a \(2-ABP\) ring, we conclude that \(P\cap Q\) is a primary ideal…

… φ-δ-primary ideals with respect to such an ideal expansion δ. In the … 2-absorbing δ-primary
ideals which unify 2-absorbing ideals and 2-absorbing primary ideals, where δ is an ideal …

… It is clear that every prime ideal is a 2-absorbing ideal but the converse is not true in general…
class of rings in which every 2-absorbing ideal is prime. They called such a ring, a 2-AB ring (…

… a generalization of prime ideal. A proper ideal I of R is called a 2-absorbing ideal if whenever
abc ∈ I … It is shown that if I is a 2-absorbing ideal of a Noetherian ring R, then R/I has some …