Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.13087/3275
Title: Summand intersection property of modules via z-closed submodules
Authors: Mutlu, Figen Takıl
Tercan, Adnan
Keywords: SIP
z-closed submodule
extending module
Rings
Issue Date: 2022
Publisher: World Scientific Publ Co Pte Ltd
Abstract: In this paper, we define a module M . to be SIPz if and only if intersection of each pair of z-closed direct summands is also a direct summand of M. We investigate structural properties of SIPz-modules and locate the implications between the other module properties which are essentially based on direct summands. We deal with decomposition theory as well as direct summands of SIPz -modules. We apply our results to matrix rings. To this end, it is obtained that the SIPz property is not Morita invariant..
URI: https://doi.org/10.1142/S1793557122501248
https://hdl.handle.net/20.500.13087/3275
ISSN: 1793-5571
1793-7183
Appears in Collections:Matematik Bölümü Koleksiyonu
WoS İndeksli Yayınlar Koleksiyonu

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