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2 results on '"periodic Bernstein algebras"'

1. On evolution operators in characteristic 2.

Author

Varro, Richard

Subjects
NONASSOCIATIVE algebras, SCALAR field theory, ALGEBRA
Abstract

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. [ABSTRACT FROM AUTHOR]

Published
2021
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2. On evolution operators in characteristic 2

Author

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
Full Text
View/download PDF

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