RATIONALLY INJECTIVE MODULES
Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2015, Vol 10, Issue 5
Abstract
In this work we introduce the concept of rationally injective module, which is a proper generalization of (essentially)-injective modules. Several properties and characterizations have been given. In part of this work, we find sufficient conditions for a direct sum of two rationally extending modules to be rationally extending. Finally we generalize some known results.
Authors and Affiliations
Mehdi Sadiq Abbas, Mahdi Saleh Nayef
Schwarschild metric in six dimensions - a topological study
In this article we introduce some types of the deformtion retracts of the 6D Schwarzchild making use of Lagrangian equations. The retraction of this space into itself and into geodesics has been presented. The relation b...
The Trisection of an Arbitrary Angle
This paper presents an elegant classical geometric solution to the ancient Greek's problem of angle trisection. Its primary objective is to provide a provable construction for resolving the trisection of an arbitra...
Some class of generalized entire sequences of Modal Interval numbers
The history of modal intervals goes back to the very first publications on the topic of interval calculus. The modal interval analysis is used in Computer graphics and Computer Aided Design (CAD), namely the computation...
DGJ method for fractional initial-value problems
In this paper, a new iterative method (DGJM) is used to solve the nonlinear fractional initial-value problems(fIVPs). The fractional derivative is described in the Caputo sense. Approximate analytical solutions of the fI...
The Total Open Monophonic Number of a Graph
For a connected graph G of order n >- 2, a subset S of vertices of G is a monophonic set of G if each vertex v in G lies on a x-y monophonic path for some elements x and y in S. The minimum cardinality of a monophonic...