Master Degree / Yüksek Lisans Tezleri

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Publisher: search.filters.publisher.01. Izmir Institute of TechnologySubject: search.filters.subject.Max-projective modules

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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 Technology
    In 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.