On evolution operators in characteristic 2
Résumé
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.
Mots clés
Baric algebras
Bernstein algebras
evolution algebras
evolution operators
periodic Bernstein algebras
plenary train algebras
quasiconstant algebras
solvable algebras
ultimately periodic operator
Baric algebras
ultimately periodic operator 2010 MSC Primary 17D92
Secondary 17A30
Baric algebras
Baric algebras