GRADED HILBERT-SYMBOL EQUIVALENCE OF NUMBER FIELDS

Journal Title: Discussiones Mathematicae - General Algebra and Applications - Year 2015, Vol 35, Issue 1

Abstract

We present a new criterion for the existence of Hilbert-symbol equivalence of two number fields. In principle, we show that the system of local conditions for this equivalence may be expressed in terms of Clifford invariants in place of Hilbert-symbols, shifting the focus from Brauer groups to Brauer-Wall groups.

Authors and Affiliations

Przemysław Koprowski

Keywords

Related Articles

GENERALIZED DERIVATIONS WITH LEFT ANNIHILATOR CONDITIONS IN PRIME AND SEMIPRIME RINGS

Let R be a prime ring with its Utumi ring of quotients U, C = Z(U) be the extended centroid of R, H and G two generalized derivations of R, L a noncentral Lie ideal of R, I a nonzero ideal of R. The left annihilator of S...

A VARIATION OF ZERO-DIVISOR GRAPHS

In this paper, we define a new graph for a ring with unity by extending the definition of the usual ‘zero-divisor graph’. For a ring R with unity, Γ1(R) is defined to be the simple undirected graph having all non-zero el...

ON THE SUBSEMIGROUP GENERATED BY ORDERED IDEMPOTENTS OF A REGULAR SEMIGROUP

An element e of an ordered semigroup S is called an ordered idempotent if e ≤ e^2. Here we characterize the subsemigroup < E≤(S) > generated by the set of all ordered idempotents of a regular ordered semigroup S. If S is...

On balanced order relations and the normal hull of completely simple semirings

In [1] the authors proved that a semiring S is a completely simple semiring if and only if S is isomorphic to a Rees matrix semiring over a skew-ring R with sandwich matrix P and index sets I and Λ which are bands under...

Filters of lattices with respect to a congruence

Some properties of filters on a lattice L are studied with respect to a congruence on L. The notion of a θ-filter of L is introduced and these filters are then characterized in terms of classes of θ. For distributive L,...

Download PDF file
  • EP ID EP304466
  • DOI -
  • Views 62
  • Downloads 0

How To Cite

Przemysław Koprowski (2015). GRADED HILBERT-SYMBOL EQUIVALENCE OF NUMBER FIELDS. Discussiones Mathematicae - General Algebra and Applications, 35(1), -. https://europub.co.uk/articles/-A-304466