@misc{10481/97297, year = {2023}, url = {https://hdl.handle.net/10481/97297}, abstract = {For any commutative ring $A$ we introduce a generalization of $S$-noetherian rings using a hereditary torsion theory $\sigma$ instead of a multiplicatively closed subset $S\subseteq{A}$. It is proved that totally noetherian w.r.t. $\sigma$ is a local property, and if $A$ is a totally noetherian ring w.r.t $\sigma$, then $\sigma$ is of fi nite type.}, title = {An extension of s-noetherian rings and modules}, doi = {10.24330/ieja.1300716}, author = {Jara Martínez, Pascual}, }