Commutative rings in which every ideal is S-2-absorbing

Let R be a commutative ring with identity and S a multiplicative subset of R. This paper introduces and studies the concept of S-2-absorbing rings. We define a ring R as S-2-absorbing if every proper ideal of R, disjoint with S, is S-2-absorbing. We discuss several properties and characterizations of S-2-absorbing rings and ideals. Additionally, we examine how these properties extend to various ring constructions, including trivial ring extensions and the amalgamation of rings along an ideal.