This corrigendum and addendum addresses two clarifications concerning the paper On weakly \((1,\rho )\) -absorbing and weakly \((1,\rho ^{*})\) -absorbing ideals in noncommutative rings. First, we point out that an open problem stated therein has already been investigated in an earlier work [7], where the corresponding notion and related results were established. Second, we correct the proof of [6, Proposition 4(2)], where bijectivity of a ring homomorphism is implicitly used although only injectivity is assumed. We show that the result holds under a surjective homomorphism for the classical version of these ideals, provided a suitable condition on the kernel is satisfied, and we present a revised and complete proof together with two counterexamples. These remarks do not affect the remaining results of the original paper and are intended to ensure accuracy and clarity in the presentation.
