Results 11 to 20 of about 149 (98)

A question on the discriminants of involutions of central division algebras

Mathematische Annalen, 1993
Let \(D\) be a finite-dimensional central simple algebra over a field \(k\) of characteristic not 2 with a \(k\)-linear involution \(\sigma\) of orthogonal type. As for quadratic forms, one can associate to \(\sigma\) a discriminant with values in \(k^ \times/{k^ \times}^ 2\). Assume that \(\dim D \geq 16\).
Parimala, R., Sridharan, R., Suresh, V.
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Minimal systems of generators for central division algebra and semi-simple algebra

Chinese Science Bulletin, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qiu, Qizhang, Sun, Ling
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Divisible subgroups of Brauer groups and trace forms of central simple algebras

Documenta Mathematica, 2001
Let F be a field of characteristic different from 2 and assume that F satisfies the strong approximation theorem on orderings (
Berhuy, Grégory, Leep, David B.
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On algebraic central division algebras over Henselian fields of finite absolute Brauer $p$-dimensions and residually arithmetic type

, 2022
35 pages, LaTeX: Title changed; The Introduction of the previous version is divided into two sections; the term Tsen rank is replaced by the more commonly used term Diophantine dimension; a number of improvements in the ...
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Breuil–Mézard conjectures for central division algebras

Algebra & Number Theory
We give a parametrization of the inertial classes of smooth representations of inner forms of GL(n) over a p-adic field, based on type-theoretic invariants. Then we give a complete description of the behaviour of this parametrization under the Jacquet–Langlands correspondence, proving a conjecture of Broussous, Sécherre and Stevens on preservation of ...
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The central Nullstellensatz over centrally algebraically closed division rings

Journal of Algebra
We introduce the concept of centrally algebraically closed division rings and show that a division ring satisfies the central Nullstellensatz if and only if it is centrally algebraically closed. We also show that every division ring can be embedded in a centrally algebraically closed division ring.
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On the Classification of Central Division Algebras of Linearly Bounded Degree over Global Fields and Local Fields

Journal of Algebra, 1993
An algebraic algebra \(A\) over a field \(K\) is called LBD (for linearly (or locally) bounded degree) if every finitely generated sub-vector space of \(A\) consists of elements of bounded degree. Algebraic algebras \(A\), \(B\) over \(K\) are called locally isomorphic if every locally finite-dimensional \(K\)-subalgebra of \(A\) of at most countable ...
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The Ontology of Haag's Local Quantum Physics. [PDF]

Entropy (Basel), 2023
Jaeger G.
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Automatic differentiation of uncertainties: an interval computational differentiation for first and higher derivatives with implementation. [PDF]

PeerJ Comput Sci, 2023
Dawood H, Megahed N.
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Valuations and valuation spectra for division rings and central simple algebras

, 2023
Najprej vpeljemo pojem krepko abelove valuacije na nekomutativnih obsegih. Za krepko abelove valuacije velja, da sta tako valuacijska grupa kot tudi obseg ostankov komutativna. Nato klasificiramo vse valuacije na realni Weylovi algebri, ki imajo realno polje ostankov. Izkaže se, da so te valuacije vse krepko abelove.
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