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Friday, May 22, 2020 | History

8 edition of Quadratic forms over semilocal rings found in the catalog.

Quadratic forms over semilocal rings

by Baeza, Ricardo

  • 147 Want to read
  • 36 Currently reading

Published by Springer-Verlag in Berlin, New York .
Written in English

    Subjects:
  • Semilocal rings.,
  • Forms, Quadratic.

  • Edition Notes

    StatementRicardo Baeza.
    SeriesLecture notes in mathematics ; 655, Lecture notes in mathematics (Springer-Verlag) ;, 655.
    Classifications
    LC ClassificationsQA3 .L28 no. 655, QA251.38 .L28 no. 655
    The Physical Object
    Paginationvi, 199 p. ;
    Number of Pages199
    ID Numbers
    Open LibraryOL4730658M
    ISBN 100387088458
    LC Control Number78018853

    M. Epkenhans, On trace forms and the Burnside ring. L. Fainsilber, Quadratic forms and gas dynamics: sums of squares in a discrete velocity model for the Boltzmann equation. C. Frings, Second trace form and T2-standard normal bases. J. Hurrelbrink, Quadratic forms of height 2 and difierences of two Pflster forms. M. Iftime, On spacetime File Size: 2MB. While classification of quadratic forms up to equivalence is an obvious central problem of the theory, its solution does not suffice to determine the structure of the Witt ring.

    While classification of quadratic forms up to equivalence is an obvious central problem of the theory, its solution does not suffice to determine the structure of the Witt ring. The classification of Witt rings over a field F is considered the ultimate goal of the theory. The chapter discusses the selected applications of function fields of. An abstract treatment of the module of quadratic forms over a semilocal ring. Authors; Authors and affiliations; Alex Rosenberg; Roger Ware; Article. First Online: 08 July 31 Downloads; Keywords Quadratic Form Author: Alex Rosenberg, Alex Rosenberg, Roger Ware, Roger Ware.

      On Knebusch's Norm Principle for quadratic forms over semi-local rings Zainoulline, K. Abstract. We prove the version of Knebusch's Norm principle for simple extensions of (semi-)local rings. As an application we prove the Grothedieck-Serre's conjecture on principal homogeneous spaces for the split case of the spinor by: 3. CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): We prove Knebusch’s Norm Principle for finite extensions of semi-local regular rings containing a field of characteristic 0. As an application we prove the version of Grothendieck-Serre’s conjecture on principal homogeneous spaces for the split case of the spinor group.


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Quadratic forms over semilocal rings by Baeza, Ricardo Download PDF EPUB FB2

: Quadratic Forms Over Semilocal Rings (Lecture Notes in Mathematics) (): Baeza, Ricardo: BooksCited by: Quadratic Forms Over Semilocal Rings.

Authors: Baeza, R. Quadratic forms over rings. Pages Baeza, Ricardo. Preview. Invariants of quadratic forms. Pages *immediately available upon purchase as print book shipments may be delayed due to the COVID crisis.

ebook access is temporary and does not include ownership of the. Quadratic Forms Over Semilocal Rings. Authors; Ricardo Baeza; Book. 68 Citations; Quadratic forms over rings. Ricardo Baeza. Pages Invariants of quadratic forms.

Pages Back Matter. Pages PDF. About this book. Keywords. Invariant Quadratische Form Semi-lokaler Ring form group quadratic form. Bibliographic. Quadratic forms over rings.- Invariants of quadratic forms.- The orthogonal group.- Pfister spaces over semi local rings.- Structure of witt rings.

Series Title: Lecture notes in mathematics (Springer-Verlag), Responsibility: Ricardo Baeza. quadratic spaces over regular semi-local domains containing a eld of characteristic 6= 2 to the case where the ring has at least one residue eld which is nite.

Quadratic Form Bilinear Form Local Ring Symmetric Bilinear Form Isotropic Subspace These keywords were added by machine and not by the authors.

This process is experimental and the keywords may be updated as the learning algorithm by: 1. Download PDF: Sorry, we are unable to provide the full text but you may find it at the following location(s): (external link)Author: Ricardo Baeza.

Let R be a commutative semilocal ring in which 2 is a unit. It is further assumed that either R has no residue fields with 5 or fewer elements, or squares of units may be lifted modulo the Jacobson radical of lizing a theorem of Elman and Lam, it is proved that quadratic forms over R are characterized by their Hasse invariant, determinant and rank iff I 3 (R) = 0, where I(R) is the Cited by: 4.

Quadratic forms over $\mathbb{Z}$ don't diagonalize in general. Even positive definite rank two forms like $3x^2+2xy+5y^2$ can't be diagonalized. Inverting $2$ won't help things. Quadratic forms over rings --Invariants of quadratic forms --The orthogonal group --Pfister spaces over semi local rings --Structure of witt rings.

Series Title: Lecture Notes in Mathematics, Title: The Artin-Springer Theorem for quadratic forms over semi-local rings with finite residue fields Authors: Stephen Scully (Submitted on 24 Feb (v1), last revised 29 Feb (this version, v2)). Cite this chapter as: Baeza R.

() Invariants of quadratic forms. In: Quadratic Forms Over Semilocal Rings. Lecture Notes in Mathematics, vol Cited by: 1. Additional Physical Format: Print version: Baeza, Ricardo, Quadratic forms over semilocal rings. Berlin ; New York: Springer-Verlag, (DLC) Quadratic forms over rings --Invariants of quadratic forms --The orthogonal group --Pfister spaces over semi local rings --Structure of witt rings.

Series Title: Lecture notes in. ization theory of quadratic and symmetric bilinear forms over elds [K 4]. Let:K!L[1be a place. Then one can assign a form (’) to a form ’over Kin a meaningful way if ’has \good reduction" with respect to (see x1).

The basic idea is to simply apply the place to the coe cients of ’which. Previously, the Norm Principle for quadratic spaces over semi-local rings was proved for F of characteristic 0 in [9].

As an application we prove Grothendieck's conjecture on principal homogeneous Author: Kirill Zainoulline. Quadratic Forms; Quadratic Forms Over Semilocal Rings; Quadratic Forms in Infinite Dimensional Vector Spaces; Quadratic Forms in Infinite Dimensional Vector Spaces; Quadratic Forms, Linear Algebraic Groups, and Cohomology; Quadratic Mappings and Clifford Algebras; Quadratic Programming and Affine Variational Inequalities; Quadratic Residues and.

We prove that every isometry of between (not-necessarily orthogonal) summands of a unimodular quadratic space over a semiperfect ring can be extended an isometry of the whole quadratic space.

This book presents the theory of quadratic and hermitian forms over rings in a very general setting. It avoids, as far as possible, any restriction on the characteristic and takes full advantage of the functorial properties of the theory. It is not an encyclopedic survey. JOURNAL OF ALGEBRA() On the Level of a Semilocal Ring with Involution J.

PFALZGRAF Fachbereich 9, Mathematik, Universit des Saarlandes, Saarbrken, West Germany Communicated by Gernot Strolh Received J TO PROFESSOR H. ZASSENHAUS ON THE OCCASION OF HIS 75TH BIRTHDAY The objective of this note is to show that the level (if it is finite) of a semilocal ring Author: J Pfalzgraf.

Unitary Groups over Strongly Semilocal Rings. Unitary groups of Hermitian forms with a hyperbolic rank at least one over local rings have been studied by D. G. James (J. Algebra52 (), Quadratic Forms over Semilocal Rings, Lecture Notes in Mathematics,Springer-Verlag, Berlin/Heidelberg/New York ()Cited by: The well-known Knebusch’s Norm Principle for quadratic forms over fields [4], [3, VII] says there is an inclusion NL K(D(qL)) ⊂ D(qK) between the subgroups of K∗, where NL K is the norm map.

The present paper is devoted to the proof of Knebusch’s Norm Principle for quadratic forms over semi-local regular rings. Namely, we want to.