Doğruöz, Semra2022-12-262022-12-262021https://doi.org/10.31801/cfsuasmas.898637http://hdl.handle.net/20.500.12575/86432In this work we introduce a new concept, namely, τ s -extending modules (rings) which is torsion-theoretic analogues of extending modules and then we extend many results from extending modules to this new concept. For instance we show that for any ring R with unit, if R R is purely τ s -extending if and only if every cyclic τ -nonsingular R -module is flat. Also, we make a classification for the direct sums of the rings to be purely τ s -extending.trPure submodule, closed submodule, (non)singular module, extending module, torsion theoryArticle702109911121303-5991