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