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
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