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- W3142485846 abstract "In this work we introduce a new concept, namely, τ s τs -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 R with unit, if $_{R}R$ R is purely τ s τs -extending if and only if every cyclic τ τ -nonsingular R R -module is flat. Also, we make a classification for the direct sums of the rings to be purely τ s τs -extending." @default.
- W3142485846 created "2021-04-13" @default.
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- W3142485846 date "2021-12-31" @default.
- W3142485846 modified "2023-09-27" @default.
- W3142485846 title "A generalization of purely extending modules relative to a torsion theory" @default.
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- W3142485846 doi "https://doi.org/10.31801/cfsuasmas.898637" @default.
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