Browsing by Author "Durğun, Yılmaz"
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Absolutely spure modules and neatflat modules
Büyükaşık, Engin; Durğun, Yılmaz (Taylor & Francis, 201502)Let R be a ring with an identity element. We prove that R is right Kasch if and only if injective hull of every simple right Rmodules is neatflat if and only if every absolutely pure right Rmodule is neatflat. A ... 
Homological objects of proper classes generated by simple modules
Durğun, Yılmaz (Izmir Institute of Technology, 2014)The main purpose of this thesis is to study some classes of modules determined by neat, coneat and spure submodules. A right Rmodule M is called neatflat (resp. coneatflat) if the kernel of any epimorphism Y → M → 0 ... 
The least proper class containing weak supplement
Durğun, Yılmaz (Izmir Institute of Technology, 2009)The main purpose of this thesis is to investigate the least proper class containing the classWS of Rmodules determined by weak supplement submodules over a ring R, in particular, over hereditary rings. A submodule A of a ... 
Neatflat modules
Büyükaşık, Engin; Durğun, Yılmaz (Taylor & Francis, 201601)Let R be a ring. A right Rmodule M is said to be neatflat if the kernel of any epimorphism Y → M is neat in Y, i.e., the induced map Hom(S, Y) → Hom(S, M) is surjective for any simple right Rmodule S. Neatflat right ... 
The proper class generated by weak supplements
Alizade, Rafail; Demirci, Yılmaz Mehmet; Durğun, Yılmaz; Pusat, Dilek (Taylor & Francis, 201401)We show that, for hereditary rings, the smallest proper classes containing respectively the classes of short exact sequences determined by small submodules, submodules that have supplements and weak supplement submodules ... 
Small supplements, weak supplements and proper classes
Alizade, Rafail; Büyükaşık, Engin; Durğun, Yılmaz (Hacettepe Üniversitesi, 2016)Let SS denote the class of short exact sequences E:0 → Af→ B → C → 0 of Rmodules and Rmodule homomorphisms such that f(A) has a small supplement in B i.e. there exists a submodule K of M such that f(A) + K = B and f(A) ... 
Strongly noncosingular modules
Alagöz, Yusuf; Durğun, Yılmaz (Iranian Mathematical Society, 201608)An Rmodule M is called strongly noncosingular if it has no nonzero Radsmall (cosingular) homomorphic image in the sense of Harada. It is proven that (1) an Rmodule M is strongly noncosingular if and only if M is coatomic ...