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

HOLOMORPH OF GENERALIZED BOL LOOPS II

The notion of the holomorph of a generalized Bol loop (GBL) is characterized afresh. The holomorph of a right inverse property loop (RIPL) is shown to be a GBL if and only if the loop is a GBL and some bijections of the...

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,...

CUBIC GENERALIZED BI-IDEALS IN SEMIGROUPS

In this paper, the concept of a cubic generalized bi-ideal in a semigroup is introduced, which is a generalization of the concept of a fuzzy generalized bi-ideal and interval-valued fuzzy generalized bi-ideal. Using this...

ON L-FUZZY MULTIPLICATION MODULES

Let L be a complete lattice. In a manner analogous to a commutative ring, we introduce and investigate the L-fuzzy multiplication modules over a commutative ring with non-zero identity. The basic properties of the prime...

Note on Ideal Based Zero-Divisor Graph of a Commutative Ring

In this paper, we consider the ideal based zero divisor graph 􀀀I (R) of a commutative ring R. We discuss some graph theoretical properties of 􀀀I (R) in relation with zero divisor graph. We also relate certain parameters...

Download PDF file
  • EP ID EP304466
  • DOI -
  • Views 39
  • 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