Cilt:70 Sayı:02 (2021)

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Browsing Cilt:70 Sayı:02 (2021) by Author "Doğruöz, Semra"

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    A generalization of purely extending modules relative to a torsion theory
    (Ankara Universitesi, 2021) Doğruöz, Semra; Other; Other
    In 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.