Homotopy G-algebra structure on the cochain complex of hom-type algebras
classification
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algebrahom-associativestructurecochaincomplexg-algebrahomotopyalgebras
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A hom-associative algebra is an algebra whose associativity is twisted by an algebra homomorphism. We show that the Hochschild type cochain complex of a hom-associative algebra carries a homotopy G-algebra structure. As a consequence, we get a Gerstenhaber algebra structure on the cohomology of a hom-associative algebra. We also find similar results for hom-dialgebras.
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