Reflexive and Dihedral (Co) Homologies of /2 -Graded Algebras
Journal Title: International Journal of Mathematics and Statistics Invention - Year 2017, Vol 5, Issue 1
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
- EP ID EP406634
- DOI -
- Views 168
- Downloads 0
The Strategy for Air Pollution Decision Services of Six Urban Districts in Tianjin
Tianjin has been undergoing long-time air pollution in recent years. According to the real-time observational data, which is collected through eight monitoring stations of Tianjin Environment Monitoring Center (the cente...
First-Passage Time moment Approximation For The Birth–Death Diffusion Process To A General moving Barrier
The development of a mathematical models for population growth of great importance in many fields. The growth and decline of real populations can in many cases be well approximated by the solutions of a stochastic differ...
A Mathematical Study of Two Phase Pulmonary Blood Flow in Artery with Special Reference to Tuberculosis
Our research deals with two phase pulmonary flow in lungs keeping in the view nature of pulmonary circulatory system in human body. Some researchers have considered the blood flow as two phased. One of which is that of r...
On The Function D(s) Associated With Riemann Zeta Function
We consider the function D(s) of the complex argument s=+it, formed with the use of a certain procedure of a transition to the limit. For >1 the function D reduces to the Riemann zeta function, multiplied by the factor...
Birth and Death Processes_ General Case
ABirth and Death Processes(BDPs) is a continuous-time Markov chain that counts the number of particles in a system over time, they are popular modeling tools in population evolution, used more particularly in biology, ge...