Master Degree / Yüksek Lisans Tezleri
Permanent URI for this collectionhttps://hdl.handle.net/11147/3008
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Master Thesis On the Rings Whose Injective Modules Are Max-Projective(01. Izmir Institute of Technology, 2023) Büyükaşık, Engin; Büyükaşık, Engin; Büyükaşık, Engin; 04.02. Department of Mathematics; 04. Faculty of Science; 01. Izmir Institute of TechnologyIn this thesis, for some classes of rings including, local, semilocal right semihereditary and right Noetherian right nonsingular, we obtain some conditions that equivalent to being right max-QF. For example, for a semilocal right semihereditary ring, we prove that, the ring is right max-QF if and only if it is a direct product of a semisimple ring and a right small ring. A right Noetherian right nonsingular ring is right max-QF if and only if every injective module can be expressed as a direct sum of an injective module with no maximal submodules and a projective module. We show that, for a ring, being max-QF and almost-QF are not left-right symmetric. An example is given in order to show that max-QF and almost-QF rings are not closed under factor rings.Master Thesis On pseudo semisimple rings(Izmir Institute of Technology, 2013) Mutlu, Hatice; Büyükaşık, Engin; Büyükaşık, Engin; 04.02. Department of Mathematics; 04. Faculty of Science; 01. Izmir Institute of TechnologyIn this thesis, we give a survey of right pseudo semisimple rings and prove some new results about these rings. Namely, we prove that a right pseudo semisimple ring is an internal exchange ring and a right pseudo semisimple ring is an SSP ring. We also give a complete characterization of right and left pseudo semisimple rings.