6 papers
Subinjective and Subprojective Extension-Reflecting Modules
Engin Büyükaşık
Given a right R-module M and any short exact sequence of right R-modules \[ 0 \to A \to B \to C \to 0, \] it is well known that if both A and C belong to the subinjectivity domain…
Co-Kasch Modules
Rafail Alizade, Engin Büyükaşık, Yılmaz Durgun
In this paper we study the modules every simple subfactors of which is a homomorphic image of and call them co-Kasch modules. These modules are dual to Kasch modules ev…
Dual Kasch Rings
Engin Büyükaşık, Christian Lomp, Haydar Baran Yurtsever
It is well known that a ring is right Kasch if each simple right -module embeds in a projective right -module. In this paper we study the dual notion and call a ring …
max-projective modules
Yusuf Alagöz, Engin Büyükaşik
A right -module is called max-projective provided that each homomorphism where is any maximal right ideal, factors through the canonical projection $π: R \…
When -semiperfect rings are semiperfect
Engin Büyükaşık, Christian Lomp
Zhou defined -semiperfect rings as a proper generalization of semiperfect rings. The purpose of this paper is to discuss relative notions of supplemented modules and to show tha…
On a recent generalization of semiperfect rings
Christian Lomp, Engin Büyükaşik
It follows from a recent paper by Ding and Wang that any ring which is generalized supplemented as left module over itself is semiperfect. The purpose of this note is to show that…