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On Dual Baer Modules

Access

info:eu-repo/semantics/closedAccess

Date

2014

Author

Tutuncu, Derya Keskin
Smith, Patrick F.
Toksoy, Sultan Eylem

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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.

Source

Ring Theory And Its Applications: Ring Theory Session In Honor of T.Y. Lam On His 70Th Birthday

Volume

609

URI

https://doi.org/10.1090/conm/609/12081
https://hdl.handle.net/11147/10433

Collections

  • WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection [4803]



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