Generalization of Retractable and Coretractable Modules
Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2014, Vol 8, Issue 1
Abstract
In this work, we extend the notion of retractability to s- retractability. An R-module is called s-retractable if for all nonzero . Also we extend coretractable modules to semi-coretractable modules. An R-module is called semi-coretractable if for all maximal essential submodule of . We investigate theseclasses of modules and extend some of main theorems on retractable and coretractable modules to s-retractable and semi-coretractable modules, respectively.
Authors and Affiliations
Nasr Zeyada, O. Al-Mallah, A. Al-Zmammy
Keywords
Related Articles
- EP ID EP651354
- DOI 10.24297/jam.v8i1.2546
- Views 165
- Downloads 0
Existence of Nonoscillatory Solutions of First Order Nonlinear Neutral Dierence Equations
In this paper, we discuss the existence of nonoscillatory solutions of first order nonlinear neutral difference equations of the form We use the Knaster-Tarski xed point theorem to obtain some sucient conditions for the...
INVERSE HEAT CONDUCTION PROBLEM IN A SOLID SPHERE AND ITS THERMAL STRESSES
This paper discusses the solution of an inverse heat conduction problem of one dimensional temperature distribution and stress field for a solid sphere. The sphere is subjected to arbitrary temperature within it under un...
Principally Quasi injective system over monoid
In this work , principally quasi injective system has been introduced and studied , which is a generalization of quasi injective system . We obtain a characterizations of PQ-injective systems , conditions on which,...
Comparison of Variational and Fractional Variational Iteration Methods in Solving Time-Fractional Differential Equations
This paper concerned with study of vartional iteration method(VIM) and fractional variational iteration method (FVIM) to solve time fractional differential equations (FDE's) . So FVIM is more effective than VIM in...
Iterative Algorithm for the Effects of Atmospheric Refraction on the Equatorial Coordinates of a Star Valid for any Zenith Distance
In the present paper an efficient algorithm will be established for the effects of atmospheric refraction on the equatorial coordinates of a star valid for any zenith distance The algorithm uses two new...