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Your search keyword '"Secondary 17A30"' showing total 2 results
Start Over Descriptor "Secondary 17A30" Topic 0101 mathematics
2 results on '"Secondary 17A30"'

1. 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
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2. 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
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