Results 11 to 20 of about 434,965 (273)

Quadratic structures associated to (multi)rings [PDF]

open access: yesCategories and General Algebraic Structures with Applications, 2022
We consider certain pairs (A, T) where A is a (multi)ring andT ⊆ A is a multiplicative set that generates, by a convenient quotient construction,a (multi)structure that supports a quadratic form theory: withsome natural hypotheses we generalize ...
Kaique Roberto   +2 more
doaj   +1 more source

Supertropical quadratic forms I [PDF]

open access: yesJournal of Pure and Applied Algebra, 2016
31 ...
Izhakian, Zur   +2 more
openaire   +3 more sources

Gravitation and quadratic forms

open access: yesJournal of High Energy Physics, 2017
The light-cone Hamiltonians describing both pure ( N $$ \mathcal{N} $$ = 0) Yang-Mills and N $$ \mathcal{N} $$ = 4 super Yang-Mills may be expressed as quadratic forms. Here, we show that this feature extends to theories of gravity.
Sudarshan Ananth   +4 more
doaj   +1 more source

Quadratic forms and systems of forms in many variables [PDF]

open access: yes, 2017
Let $F_1,\dotsc,F_R$ be quadratic forms with integer coefficients in $n$ variables. When $n\geq 9R$ and the variety $V(F_1,\dotsc,F_R)$ is a smooth complete intersection, we prove an asymptotic formula for the number of integer points in an expanding box
Myerson, Simon L. Rydin
core   +4 more sources

Wargaming with Quadratic Forms and Brauer Configuration Algebras

open access: yesMathematics, 2022
Recently, Postnikov introduced Bert Kostant’s game to build the maximal positive root associated with the quadratic form of a simple graph. This result, and some other games based on Cartan matrices, give a new version of Gabriel’s theorem regarding ...
Agustín Moreno Cañadas   +2 more
doaj   +1 more source

Arithmetic progressions in binary quadratic forms and norm forms [PDF]

open access: yes, 2019
We prove an upper bound for the length of an arithmetic progression represented by an irreducible integral binary quadratic form or a norm form, which depends only on the form and the progression's common difference.
Elsholtz, Christian, Frei, Christopher
core   +2 more sources

The birational composition of arbitrary quadratic form with binary quadratic form

open access: yesЖурнал Белорусского государственного университета: Математика, информатика, 2022
Let f(X) and g(Y) be nondegenerate quadratic forms of dimensions m and n respectively over a field K, charK ≠ 2. Herein, the problem of the birational composition of f(X) and g(Y) is considered, namely, the condition is established when the product f(X)g(
Alexandr A. Bondarenko
doaj   +1 more source

Quadratic forms and linear algebraic groups [PDF]

open access: yes, 2009
Topics discussed at the workshop Quadratic Forms and Linear Algebraic Groups included besides the algebraic theory of quadratic and Hermitian forms and their Witt groups several aspects of the theory of linear algebraic groups and homogeneous varieties ...
Harbater, David   +2 more
core   +1 more source

Applications of quadratic D-forms to generalized quadratic forms

open access: yesپژوهش‌های ریاضی, 2022
In this paper, we study generalized quadratic forms over a division algebra with involution of the first kind in characteristic two. For this, we associate to every generalized quadratic from a quadratic form on its underlying vector space.
Amir Hossein Nokhodkar
doaj  

Witt rings of quadratically presentable fields [PDF]

open access: yesCategories and General Algebraic Structures with Applications, 2020
This paper introduces an approach to the axiomatic theory of quadratic forms based on {tmem{presentable}} partially ordered sets, that is partially ordered sets subject to additional conditions which amount to a strong form of local presentability.
Pawel Gladki, Krzysztof Worytkiewicz
doaj  

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