Exponents of Subvarieties of Upper Triangular Matrices over Arbitrary Fields are Integral


Autoria(s): Petrogradsky, V.
Data(s)

26/10/2009

26/10/2009

2000

Resumo

Partially supported by grant RFFI 98-01-01020.

Let Uc be the variety of associative algebras generated by the algebra of all upper triangular matrices, the field being arbitrary. We prove that the upper exponent of any subvariety V ⊂ Uc coincides with the lower exponent and is an integer.

Identificador

Serdica Mathematical Journal, Vol. 26, No 2, (2000), 167p-176p

1310-6600

http://hdl.handle.net/10525/414

Idioma(s)

en

Publicador

Institute of Mathematics and Informatics

Palavras-Chave #Associative Algebras With Polynomial Identities #Growth of Codimensions
Tipo

Article