1. On evolution operators in characteristic 2
- Author
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Richard Varro, Institut Montpelliérain Alexander Grothendieck (IMAG), and Université de Montpellier (UM)-Centre National de la Recherche Scientifique (CNRS)
- Subjects
Pure mathematics ,evolution operators ,evolution algebras ,Algebra and Number Theory ,solvable algebras ,[MATH.MATH-AC]Mathematics [math]/Commutative Algebra [math.AC] ,010102 general mathematics ,Bernstein algebras ,010103 numerical & computational mathematics ,Secondary 17A30 ,01 natural sciences ,Nilpotent ,quasiconstant algebras ,Baric algebras ,plenary train algebras ,periodic Bernstein algebras ,0101 mathematics ,2010 MSC: Primary: 17D92 ,Secondary: 17A30 ,ultimately periodic operator 2010 MSC Primary 17D92 ,Scalar field ,Commutative property ,Mathematics ,ultimately periodic operator - Abstract
International audience; We are interested in the evolution operators defined on commutative and non-associative algebras when the characteristic of the scalar field is 2. We distinguish four types: nilpotent, quasi-constant, ultimately periodic, and plenary train operators. They are studied and classified for non-baric and for baric algebras.
- Published
- 2020
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