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Title: Summand intersection property of modules via z-closed submodules
Authors: Mutlu, Figen Takıl
Tercan, Adnan
Keywords: SIP
z-closed submodule
extending module
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..
ISSN: 1793-5571
Appears in Collections:Matematik Bölümü Koleksiyonu
WoS İndeksli Yayınlar Koleksiyonu

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