Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.13087/2714
Title: EVENTUALLY SEMISIMPLE WEAK FI-EXTENDING MODULES
Authors: Mutlu, Figen Takıl
Tercan, Adnan
Yaşar, Ramazan
Keywords: CS-module
weak CS-module
uniform dimension
ascending chain on essen-
tial submodules
C-11-module
FI-extending
weak FI-extending
Dcc
Acc
Issue Date: 2022
Publisher: Inst Mathematics, As Cr
Abstract: In this article, we study modules with the weak FI-extending property. We prove that if M satisfies weak FI-extending, pseudo duo, C-3 properties and M/Soc M has finite uniform dimension then M decomposes into a direct sum of a semisimple submodule and a submodule of finite uniform dimension. In particular, if M satisfies the weak FI-extending, pseudo duo, C-3 properties and ascending (or descending) chain condition on essential submodules then M = M-1 circle plus M-2 for some semisimple submodule M-1 and Noetherian (or Artinian, respectively) submodule M-2. Moreover, we show that a nonsingular weak CS (or weak C-11(*), or weak FI) module has a direct summand which essentially contains the socle of the module and is a CS (or C-11, or FI-extending, respectively) module.
URI: https://doi.org/10.21136/MB.2022.0100-21
https://hdl.handle.net/20.500.13087/2714
ISSN: 0862-7959
2464-7136
Appears in Collections:WoS İndeksli Yayınlar Koleksiyonu

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