Faithfully Quadratic Rings

Faithfully Quadratic Rings
Author :
Publisher : American Mathematical Soc.
Total Pages : 148
Release :
ISBN-10 : 9781470414689
ISBN-13 : 1470414686
Rating : 4/5 (89 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.

DOWNLOAD 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
Relative Nonhomogeneous Koszul Duality
Language: en
Pages: 303
Authors: Leonid Positselski
Categories: Mathematics
Type: BOOK - Published: 2022-02-10 - Publisher: Springer Nature

DOWNLOAD EBOOK

This research monograph develops the theory of relative nonhomogeneous Koszul duality. Koszul duality is a fundamental phenomenon in homological algebra and rel
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.

DOWNLOAD 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
The $abc$-Problem for Gabor Systems
Language: en
Pages: 116
Authors: Xin-Rong Dai
Categories: Mathematics
Type: BOOK - Published: 2016-10-05 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

A longstanding problem in Gabor theory is to identify time-frequency shifting lattices aZ×bZ and ideal window functions χI on intervals I of length c such tha
Monoidal Categories and the Gerstenhaber Bracket in Hochschild Cohomology
Language: en
Pages: 158
Authors: Reiner Hermann:
Categories: Mathematics
Type: BOOK - Published: 2016-09-06 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

In this monograph, the author extends S. Schwede's exact sequence interpretation of the Gerstenhaber bracket in Hochschild cohomology to certain exact and monoi