We deal with the existing problem of filtered multiplicative bases of finitedimensional associative algebras. For an associative algebra A over a field, we investigate when the property of having a filtered multiplicative basis is hereditated by homomorphic images or by the associated graded algebra of A. These results are then applied to some classes of group algebras and restricted enveloping algebras.

On filtered multiplicative bases of some associative algebras

SICILIANO, Salvatore
2015-01-01

Abstract

We deal with the existing problem of filtered multiplicative bases of finitedimensional associative algebras. For an associative algebra A over a field, we investigate when the property of having a filtered multiplicative basis is hereditated by homomorphic images or by the associated graded algebra of A. These results are then applied to some classes of group algebras and restricted enveloping algebras.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11587/389719
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