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- W2887486550 abstract "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. Une algèbre hom-associative est une algèbre dont l'associativité est tordue par un homomorphisme d'algèbre. Nous montrons que le complexe des co-chaînes de type Hochschild d'une algèbre hom-associative porte une structure de G-algèbre à homotopie près. Comme conséquence, nous obtenons une structure d'algèbre de Gerstenhaber sur la cohomologie des algèbres hom-associatives. Nous arrivons également à des résultats similaires pour les hom-dialgèbres." @default.
- W2887486550 created "2018-08-22" @default.
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- W2887486550 date "2018-11-01" @default.
- W2887486550 modified "2023-09-23" @default.
- W2887486550 title "Homotopy G-algebra structure on the cochain complex of hom-type algebras" @default.
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- W2887486550 doi "https://doi.org/10.1016/j.crma.2018.11.001" @default.
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