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Algebras with bracket |
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| Authors: | J M Casas T Pirashvili |
| Institution: | (1) Dpto. Matemática Aplicada I, Univ. de Vigo, 36005 Pontevedra, Spain;(2) Math. Inst., , Aleksidze str.1, Tbilisi, 0193, Republic of Georgia |
| Abstract: | An algebra with bracket is an associative algebra A equipped with a bilinear operation −,−] satisfying a · b, c] = a, c]·b+a · b, c]. Our main result claims that the operad corresponding to algebras with bracket is Koszul. |
| Keywords: | 18D50 18G60 17B63 |
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