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Dihedral Cohomology of an Infinity Algebras |
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PP: 109-119 |
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doi:10.18576/isl/110112
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Author(s) |
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Alaa Hassan Noreldeen Mohamed,
Samar A. Abo Quota,
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Abstract |
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| 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. |
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