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4 results on '"plenary train algebras"'

2. 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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3. Sur Les Train Algebres De Degre Quatre: Structures Et Classifications.

Author

Mallol, Cristián, Nourigat, Michelle, and Varro, Richard

Subjects
MATHEMATICAL analysis, MATHEMATICAL physics, LINEAR algebra, IDEMPOTENTS, VECTOR topology
Abstract

We study train algebras of fourth degree, give some genetic examples and explicit the plenary train identities associated. These algebras fall ultimately into four classes; the first two of them do not have 1/2 as train root and thus have idempotents. For these types we provide structure theorems, which are then used for classification purposes in small dimensions. [ABSTRACT FROM AUTHOR]

Published
2009
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4. 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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