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math.RA2002★ 4 cited
Valued Deformations of Algebras
Michel Goze, Elisabeth Remm
We develop the notion of deformations using a valuation ring as ring of coefficients. This permits to consider in particular the classical Gerstenhaber deformations of associative…
math.RA2002
Lie-admissible algebras and operads
Michel Goze, Elisabeth Remm
A Lie-admissible algebra gives by anticommutativity a Lie algebra. In this work we study remarkable classes of Lie-admissible algebras such as Vinberg, PreLie algebras. We compute…