Dihedral Cohomology of an Infinity Algebras

Authors

Alaa Hassan Noreldeen Mohamed, Math. Dept., Faculty of Science, Aswan University, Aswan. Egypt\\ Academy of Scientific Rasearch and Techonolgy (ASRT), EgyptFollow
Samar A. Abo Quota, Math. Dept., Faculty of Science, Aswan University, Aswan. Egypt\\ Academy of Scientific Rasearch and Techonolgy (ASRT), EgyptFollow

Abstract

In this research, the basic definitions of an operad, graded algebra, and A∞-module are introduced. The A∞-algebras and their (co)homology are studied to obtain the relations between the cyclic and dihedral (co)homology. The L∞-algebras are discussed, and the relations of the isomorphism between primitive and indecomposable elements in the L∞-algebras are presented. We demonstrate the relation between cyclic and dihedral (co)homology of L∞-algebras. Finally, the Mayer-Vietoris sequence of L∞-algebras is investigated.

Recommended Citation

Hassan Noreldeen Mohamed, Alaa and A. Abo Quota, Samar (2022) "Dihedral Cohomology of an Infinity Algebras," Information Sciences Letters: Vol. 11 : Iss. 1 , PP -.
Available at: https://digitalcommons.aaru.edu.jo/isl/vol11/iss1/16