1. Identités Multilinéaires de Degré 4 pour les Algèbres de Bernstein et de Mutation Non Commutatives
- Author
-
Richard Varro, Institut Montpelliérain Alexander Grothendieck (IMAG), and Université de Montpellier (UM)-Centre National de la Recherche Scientifique (CNRS)
- Subjects
Baric algebra ,Pure mathematics ,Multilinear map ,Algebra and Number Theory ,Non commutative mutation algebra 2000 Mathematics Subject Classification: Primary 17D92 ,[MATH.MATH-AC]Mathematics [math]/Commutative Algebra [math.AC] ,Non commutative Bernstein algebra ,010102 general mathematics ,0211 other engineering and technologies ,021107 urban & regional planning ,Secondary 17A30 ,02 engineering and technology ,16. Peace & justice ,01 natural sciences ,Multilinear identities ,Mutation (genetic algorithm) ,0101 mathematics ,Commutative property ,Resolution (algebra) ,Mathematics - Abstract
International audience; We give the identities generating the spaces of degree 4 multilinear identities satisfied by the non commutative 0th-order Bernstein algebras and the non commutative mutation algebras. For it, we use a method reducing the search for multilinear identities to the resolution of linear systems.
- Published
- 2012
- Full Text
- View/download PDF