Browsing by Author "Meriç E.T."

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    Principally Goldie*-Lifting Modules
    (Springer New York LLC, 2018) Güroğlu A.T.; Meriç E.T.
    A module M is called a principal Goldie*-lifting if, for every proper cyclic submodule X of M, there is a direct summand D of M such that Xβ*D. We focus our attention on principally Goldie*-lifting modules as a generalization of lifting modules. Various properties of these modules are presented. © 2018, Springer Science+Business Media, LLC, part of Springer Nature.
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    When proper cyclics are homomorphic image of injectives
    (Bellwether Publishing, Ltd., 2020) Meriç E.T.
    Quasi-Frobenius rings are precisely rings over which any right module is a homomorphic image of an injective module. We investigate the structure of rings whose proper cyclic right modules are homomorphic image of injectives. The class of such rings properly contains that of right self-injective rings. We obtain some structure theorems for rings satisfying the said property and apply them to the Artin algebra case: It follows that an Artin algebra with this property is Quasi-Frobenius. © 2020 Taylor & Francis Group, LLC.