Strongly Gorenstein Syzygy Modules and Strongly Gorenstein Flat Dimensions

Journal Title: Scholars Journal of Physics, Mathematics and Statistics - Year 2015, Vol 2, Issue 2

Abstract

For any ring and any positive integer , We investigate the relation between the Strongly Gorenstein- -syzygy with the -syzygy of a module as well as the relation between the Gorenstein- -syzygy and the -syzygy of a module. We obtain a criterion for computing strongly Gorenstein flat dimension of modules.

Authors and Affiliations

Jianmin Xing

Keywords

Related Articles

Stochastic Gradient Descent with SVM for Imbalanced Data Classification

Stochastic Gradient Descent (SGD) is an attractive choice for SVM training. SGD leads to a result that the probability of choosing majority class is far greater than that of minority class for imbalanced classification p...

Simulation for Performance Analysis of Some Capability Indices on Net-Volume Content of 35cl Coca-Cola Soft Drinks

This paper examined the statistical performance of some capability indices such as Cp and Cpk using simulation. Statistical software R version 3.1.3 was used in generating data sets on net-volume contents of 35cl coca-co...

Region of Variability of a Subclass of Starlike Univalent Functions

Let R denote the class of all analytic univalent functions f(z) in the unit disk ∆ with f(0)=f^' (0)=1 and (zf^' (z))/(f(z)) is starlike. For any fixed z_0 in the unit disk and λ ∈ ∆ ̅, we determine the region of variabi...

On the Cultivation of Students' Thinking Ability in the Teaching of Mathematics Exercises in Primary Schools

Thinking is the core of mathematics, and the cultivation of students' mathematical ability is mainly the cultivation of students' thinking ability. Exercises in mathematics teaching is an important way to deepen the unde...

A Note on Existence of Positive Solutions of One-Dimensional -LaplacianEquations

In this paper, we proved some new results on the existence of positive solutions of one-dimensional - Laplacian equations under sublinear conditions. Our assumptions are weaker than theexisting that, some recent results...

Download PDF file
  • EP ID EP384689
  • DOI -
  • Views 75
  • Downloads 0

How To Cite

Jianmin Xing (2015). Strongly Gorenstein Syzygy Modules and Strongly Gorenstein Flat Dimensions. Scholars Journal of Physics, Mathematics and Statistics, 2(2), 249-255. https://europub.co.uk/articles/-A-384689