On Slightly Compressible-Injective Modules

  title={On Slightly Compressible-Injective Modules},
  author={Nguyen Dang Hoa Nghiem and Phatsarapa Janmuang and Samruam Baupradist and Ronnason Chinram},
  journal={European Journal of Pure and Applied Mathematics},
In this paper, we introduce the concept of slightly compressible-injective modules, following this, a right R-module N is called an M-slightly compressible-injective module, if every R-homomorphism from a non-zero M-slightly compressible submodule of M to N can be extended to M. We give some characterizations and properties of slightly compressible-injective modules. 
T-Essentially Coretractable and Weakly T-Essentially Coretractable Modules
نقدم في هذا البحث اعمامات جديدة للمقاسات المنكمشة المضادة حيث اطلقنا على المقاس  اسم منكمش مضاد جوهري من النوع-T أو منكمش مضاد جوهري ضعيف من النوعT- إذا كان لكل مقاس جزئي K من المقاس  ، يوجد  f∈End(


Generalization of Slightly Compressible Modules
This paper introduces the notion of M -slightly compressible modules, i.e. a right R module N is called M - slightly compressible if for every nonzero submodule A of N there exists a nonzero R -homomorphism s from M to N such that .
Completely Slightly Compressible Modules
In this note we introduce and investigate completely slightly compressible modules as a generalization of compressible modules. It is shown that if M is completely slightly compressible module and
In this paper, the concepts of essentially slightly compressible modules and essentially slightly compressible rings are introduced, and related properties are investigated. The notion of essentially
Quasi Principally Injective Modules
In this paper we have studied the properties of quasi principally injective modules related to Hopfian, co-Hopfian, directly finite and epiretractable modules. Apart from this we have proved that
Essentially compressible modules and rings
Rings and Categories of Modules
This book is intended to provide a self-contained account of much of the theory of rings and modules. The theme of the text throughout is the relationship between the one-sided ideal structure a ring
Modules with many homomorphisms
Serre's Problem on Projective Modules
to Serre's Conjecture: 1955-1976.- Foundations.- The "Classical" Results on Serre's Conjecture.- The Basic Calculus of Unimodular Rows.- Horrocks' Theorem.- Quillen's Methods.- K1-Analogue of Serre's
Foundations of module and ring theory
This volume provides a comprehensive introduction to module theory and the related part of ring theory, including original results as well as the most recent work. It is a useful and stimulating