In this paper, we investigate the concept of S-weakly 1-absorbingprimary ideals and submodules in commutative rings and modules. We introduceand analyze the properties of S-weakly 1-absorbing primary ideals, whichgeneralize the weakly 1-absorbing prim...
In this paper, we investigate the concept of S-weakly 1-absorbingprimary ideals and submodules in commutative rings and modules. We introduceand analyze the properties of S-weakly 1-absorbing primary ideals, whichgeneralize the weakly 1-absorbing primary ideals, by focusing on ideals thatsatisfy specific multiplication conditions relative to a multiplicative subset S ofthe ring.