Valued Deformations of Algebras

Details Valued Deformations of Algebras Valued Deformations of Algebras

2002-10-31

arxiv.org/abs/math/0210475v1

Mathematics

Rings and Algebras

18 pages

Scientific paper

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 or Lie algebras as infinitesimal deformations and to solve the equation of deformations in a polynomial frame. We consider also the deformations of the enveloping algebra of a rigid Lie algebra and we define valued deformations for some classes of non associative algebras.

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