On 2-Absorbing and Weakly 2-Absorbing Ideals of Commutative Semirings
On 2-Absorbing and Weakly 2-Absorbing Ideals of Commutative Semirings
Let R be a commutative semiring.We define a proper ideal I of R to be 2-absorbing (resp., weakly 2-absorbing) if abc ∈ I (resp., 0 ̸ = abc ∈ I) implies ab ∈ I or ac ∈ I or bc ∈ I.We show that a weakly 2-absorbing ideal I with …