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Acerca de álgebras báricas satisfaciendo \((x^2)^2 = w(x)^3x *\)

Author
Catalán, Abdón

Costa, Roberto

Full text
https://cubo.ufro.cl/ojs/index.php/cubo/article/view/1566
Abstract
Let (A, 𠜔) be a baric algebra, we define the E-ideal associated to the train polynomial p(ð “ ) = ð “ n + y1𠜔(ð “ )ð “ n-1 + ... + yn-1𠜔(ð “ )n-1ð “ , by the ideal EA(p) de A generated by all p(a), a ⋲ A. Different train polynomials may give rise to the same E-ideal. Two train polynomials p(ð “ ) and q(ð “ ) are equivalent when EA(p) = EA(q). We prove tbat for baric algebras satisfying (ð “ ²)² = 𠜔(ð “ )³ð “ there are 3 equivalence classes of train polynomials.
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Artes, Arquitectura y UrbanismoCiencias Agrarias, Forestales y VeterinariasCiencias Exactas y NaturalesCiencias SocialesDerechoEconomía y AdministraciónFilosofía y HumanidadesIngenieríaMedicinaMultidisciplinarias
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Universidad de ChileUniversidad Católica de ChileUniversidad de Santiago de ChileUniversidad de ConcepciónUniversidad Austral de ChileUniversidad Católica de ValparaísoUniversidad del Bio BioUniversidad de ValparaísoUniversidad Católica del Nortemore

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