WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

Permanent URI for this collectionhttps://hdl.handle.net/11147/7150

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Department: search.filters.department.İzmir Institute of Technology. MathematicsSubject: search.filters.subject.d-Rickart module

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  • Conference Object
    Citation - WoS: 7
    On dual baer modules
    (American Mathematical Society, 2014) Tütüncü, Derya Keskin; Tütüncü, Derya Keskin; Smith, Patrick F.; Toksoy, Sultan Eylem; Toksoy, Sultan Eylem; 04.02. Department of Mathematics; 04. Faculty of Science; 01. Izmir Institute of Technology
    In this note we prove that any ring R is right cosemihereditary if and only if every finitely cogenerated injective right R-module is d-Rickart. Let M be a module. We prove that if M is a dual Baer module with the (D-2) condition, then S = End(R)(M) is a right self-injective ring. We also prove that if M = M-1 circle plus M-2 with M-2 semisimple, then M is dual Baer if and only if M-1 is dual Baer and every simple non-direct summand of M-1 does not embed in M-2.