Reflexive and Dihedral (Co) Homologies of  /2 -Graded Algebras

Abstract

We are concerned with the dihedral (co)homology of a unital  /2 -graded algebra A over a field K with a graded involution and recall definitions and properties of Hochschild and cyclic (co) homology groups for a  /2 -graded algebra from [7]. A cyclic cohomology of algebras over the complex numbers  has given by Kastler. We introduce the reflexive and dihedral (co)homology groups for a  /2 -graded algebra A by defining the reflexive operator r and the dihedral operator h in the  /2 -graded case.

Authors and Affiliations

Y. Gh. Gouda, Alaa H. N. , Mahmoud Saad

Keywords

Related Articles

Fibonacci Matrix Summability of Fourier series

This note aims at applying recently defined infinite matrix method which we apply in the summation of Fourier series. The summation amounts to uniform convergence of Fourier series as maintained by Fejer, since1904.

Oscillation of Solutions to Neutral Delay and Advanced Difference Equations with Positive and Negative Coefficients

In this article we give infinite-sum conditions for the oscillation of all solutions of the following first order neutral delay and advanced difference equations with positive and negative coefficientsof the forms.

Edge Domination in Hypergraph

In this paper we define the concept of edge domination in hypergraphs. We characterize minimal edge dominating sets in hypergraphs. We also prove that a set of vertices S of a hypergraph is a dominating set iff S* is an...

The Impact of Demographic Factors on Socio-Economic Development in Bangladesh: Logistic Regression Analysis

Economic development is the primary objective of every nation in the world.The major objectives of planned development have been increased national income, rural development, self-sufficiency in food and increased indust...

A New Transformed Test forAnalysis of Variance forSkewed DistributionswithaUnivariate Goodness of Fit

Analysis of variance (ANOVA) is one of the most popular statistical techniques for comparing different groups or treatments with respect to their means. One of the important assumptions for the validity of ANOVA F test i...

Download PDF file
  • EP ID EP406634
  • DOI -
  • Views 191
  • Downloads 0

How To Cite

Y. Gh. Gouda, Alaa H. N. , Mahmoud Saad (2017). Reflexive and Dihedral (Co) Homologies of  /2 -Graded Algebras. International Journal of Mathematics and Statistics Invention, 5(1), 23-31. https://europub.co.uk/articles/-A-406634