Browsing by Subject "Rmodules"
Now showing items 19 of 9

Extensions of weakly supplemented modules
(Mathematica Scandinavica, 2008)It is shown that weakly supplemented modules need not be closed under extension (i.e. if U and M/U are weakly supplemented then M need not be weakly supplemented). We prove that, if U has a weak supplement in M then M is ... 
Injective modules and their generalizations
(Izmir Institute of Technology, 201807)The main goal of this thesis is to give a survey about some different generalizations of injective modules, namely, C1, C2, C3conditions and the modules which satisfy the simple versions of these conditions. A right ... 
KrullSchmidt properties over rings of finite character
(Izmir Institute of Technology, 201607)The main purpose of this thesis is to investigate the notion of KrullSchmidt properties over rings of finite character. In accordance with this aim, we give a survey of necessary and sufficient conditions on an hlocal ... 
On δperfect and δsemiperfect rings
(Izmir Institute of Technology, 2014)In this thesis, we give a survey of generalizations of rightperfect, semiperfect and semiregular rings by considering the class of all singular Rmodules in place of the class of all Rmodules. For a ring R and a right ... 
Radsupplemented modules
(Universita di Padova, 2010)Let τ be a radical for the category of left Rmodules for a ring R. If M is a τcoatomic module, that is, if M has no nonzero τtorsion factor module, then τ(M) is small in M. If V is a τsupplement in M, then the intersection ... 
Rings whose modules are weakly supplemented are perfect. Applications to certain ring extensions
(Mathematica Scandinavica, 2009)In this note we show that a ring R is left perfect if and only if every left Rmodule is weakly supplemented if and only if R is semilocal and the radical of the countably infinite free left Rmodule has a weak supplement. 
Strongly noncosingular modules
(Izmir Institute of Technology, 2014)The main purpose of this thesis is to investigate the notion of strongly noncosingular modules. We call a right Rmodule M strongly noncosingular if for every nonzero right R module N and every nonzero homomorphismf : M ... 
Strongly noncosingular modules
(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 ... 
Strongly radical supplemented modules
(Springer, 201201)Zöschinger studied modules whose radicals have supplements and called these modules radical supplemented. Motivated by this, we call a module strongly radical supplemented (briefly srs) if every submodule containing the ...