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Some properties of the symbol algebras

Domenii publicaţii > Matematica + Tipuri publicaţii > Articol în revistã ştiinţificã

Autori: Diana Savin, Cristina Flaut, Camelia Ciobanu

Editorial: Carpathian Journal of Mathematics, vol. 25, No. 2, p.239-245, 2009.

Rezumat:

In this paper, we obtain some properties of the symbol algebras, starting from their
connections with the quaternion and cyclic algebras over a field K_p, where K is an algebraic number
field, p is a prime in K and K_p is the completion of K with respect to p- adic valuation, in the case
when K = Q(eps), eps^3 = 1, ” eps different of 1.

Cuvinte cheie: Symbol algebras, p-adic valuation, Artin symbol

URL: http://carpathian.ubm.ro/

Some properties of the symbol algebras

Domenii publicaţii > Matematica + Tipuri publicaţii > Articol în revistã ştiinţificã

Autori: Diana Savin, Cristina Flaut, Camelia Ciobanu

Editorial: Carpathian Journal of Mathematics, vol. 25, No. 2, p.239-245, 2009.

Rezumat:

In this paper, we obtain some properties of the symbol algebras, starting from their
connections with the quaternion and cyclic algebras over a field K_p;where K is an algebraic number
field, p is a prime in K and K_p is the completion of K with respect to p- adic valuation, in the case
when K = Q(eps), eps^3 = 1, ” eps different of 1.

Cuvinte cheie: algebre simbol, valuare p-adica, simbolul lui Artin // Symbol algebras, p-adic valuation, Artin symbol

URL: http://carpathian.ubm.ro/