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|Title:||Summand intersection property of modules via z-closed submodules||Authors:||Mutlu, Figen Takıl
|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
|Appears in Collections:||Matematik Bölümü Koleksiyonu|
WoS İndeksli Yayınlar Koleksiyonu
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