Please use this identifier to cite or link to this item: 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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