An extension of S-artinian rings and modules to a hereditary torsion theory setting Jara Martínez, Pascual For any commutative ring A, we introduce a generalization of S-artinian rings using a hereditary torsion theory σ instead of a multiplicative closed subset 𝑆��⊆𝐴��. It is proved that if A is a totally σ-artinian ring, then σ must be of finite type, and A is totally σ-noetherian. 2025-01-21T09:13:26Z 2025-01-21T09:13:26Z 2021 journal article https://hdl.handle.net/10481/99808 10.1080/00927872.2020.1841786 eng embargoed access Communication in Algebra