Faithfully Quadratic Rings

Faithfully Quadratic Rings
Author :
Publisher : American Mathematical Soc.
Total Pages : 148
Release :
ISBN-10 : 9781470414689
ISBN-13 : 1470414686
Rating : 4/5 (686 Downloads)

Book Synopsis Faithfully Quadratic Rings by : M. Dickmann

Download or read book Faithfully Quadratic Rings written by M. Dickmann and published by American Mathematical Soc.. This book was released on 2015-10-27 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this monograph the authors extend the classical algebraic theory of quadratic forms over fields to diagonal quadratic forms with invertible entries over broad classes of commutative, unitary rings where is not a sum of squares and is invertible. They accomplish this by: (1) Extending the classical notion of matrix isometry of forms to a suitable notion of -isometry, where is a preorder of the given ring, , or . (2) Introducing in this context three axioms expressing simple properties of (value) representation of elements of the ring by quadratic forms, well-known to hold in the field case.


Faithfully Quadratic Rings Related Books

Faithfully Quadratic Rings
Language: en
Pages: 148
Authors: M. Dickmann
Categories: Mathematics
Type: BOOK - Published: 2015-10-27 - Publisher: American Mathematical Soc.

GET EBOOK

In this monograph the authors extend the classical algebraic theory of quadratic forms over fields to diagonal quadratic forms with invertible entries over broa
Quadratic Forms Over Semilocal Rings
Language: en
Pages: 204
Authors: R. Baeza
Categories: Mathematics
Type: BOOK - Published: 2006-11-22 - Publisher: Springer

GET EBOOK

Quadratic and Hermitian Forms over Rings
Language: en
Pages: 536
Authors: Max-Albert Knus
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

GET EBOOK

From its birth (in Babylon?) till 1936 the theory of quadratic forms dealt almost exclusively with forms over the real field, the complex field or the ring of i
Diagonalizing Quadratic Bosonic Operators by Non-Autonomous Flow Equations
Language: en
Pages: 134
Authors: Volker Bach
Categories: Mathematics
Type: BOOK - Published: 2016-03-10 - Publisher: American Mathematical Soc.

GET EBOOK

The authors study a non-autonomous, non-linear evolution equation on the space of operators on a complex Hilbert space. They specify assumptions that ensure the
Proof of the 1-Factorization and Hamilton Decomposition Conjectures
Language: en
Pages: 176
Authors: Béla Csaba
Categories: Mathematics
Type: BOOK - Published: 2016-10-05 - Publisher: American Mathematical Soc.

GET EBOOK

In this paper the authors prove the following results (via a unified approach) for all sufficiently large n: (i) [1-factorization conjecture] Suppose that n is