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https://hdl.handle.net/11147/9960
Title: | On dual baer modules | Authors: | Tütüncü, Derya Keskin Smith, Patrick F. Toksoy, Sultan Eylem |
Keywords: | Dual Baer module d-Rickart module relatively d-Rickart modules |
Publisher: | American Mathematical Society | Series/Report no.: | Contemporary Mathematics | Abstract: | 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. | Description: | 31st Ohio State-Denison Mathematics Conference | URI: | https://doi.org/10.1090/conm/609/12081 https://hdl.handle.net/11147/9960 |
ISBN: | 978-0-8218-8797-4 | ISSN: | 0271-4132 1098-3627 |
Appears in Collections: | WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection |
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