Results 21 to 30 of about 158,268 (326)
Physical Review Physics Education Research, 2019 Mathematical reasoning with algebraic and geometric representations is essential for success in upper-division and graduate-level physics courses. Complex algebra requires student to fluently move between algebraic and geometric representations.
Emily M. Smith +2 more
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Realizing central division algebras [PDF]
Pacific Journal of Mathematics, 1983 Eine torsionsfreie abelsche Gruppe heißt \(p\)-lokal, falls \(G\) durch alle Primzahlen \(\neq p\) teilbar ist. Ist \(E(G)\) der Endomorphismenring von \(G\), so heißt die Koeffizientenerweiterung \({\mathbb{Q}}\otimes E(G)\) der Quasiendomorphismenring von \(G\). Die Verff.
Pierce, R. S., Vinsonhaler, C.
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Nicely semiramified division algebras over Henselian fields
International Journal of Mathematics and Mathematical Sciences, 2005 This paper deals with the structure of nicely semiramified valued division algebras. We prove that any defectless finite-dimensional central division algebra over a Henselian field E with an inertial maximal subfield and a totally ramified maximal ...
Karim Mounirh
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Algorithms and Data Structures for Sparse Polynomial Arithmetic
Mathematics, 2019 We provide a comprehensive presentation of algorithms, data structures, and implementation techniques for high-performance sparse multivariate polynomial arithmetic over the integers and rational numbers as implemented in the freely available Basic ...
Mohammadali Asadi +3 more
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An octonionic formulation of the M-theory algebra
, 2014 We give an octonionic formulation of the N = 1 supersymmetry algebra in D = 11, including all brane charges. We write this in terms of a novel outer product, which takes a pair of elements of the division algebra A and returns a real linear operator on A.
Anastasiou, A. +4 more
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Recognition of division algebras
Journal of Algebra, 2009 Let \(A\) be a finite-dimensional simple (associative) algebra over the field \(\mathbb{Q}\) of rational numbers. By an order of \(A\), we mean a subring \(R\) of \(A\), which contains the unit of \(A\) and forms a lattice in \(A\) (viewed as a vector space over \(\mathbb{Q}\)).
Nebe, Gabriele, Steel, Allan
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Some inequalities for maximum modules of polynomials
International Journal of Mathematics and Mathematical Sciences, 1991 A well-known result of Ankeney and Rivlin states that if p(z) is a polynomial of degree n, such that p(z)≠0 in |z|
N. K. Govil
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Bonded quadratic division algebras [PDF]
Pacific Journal of Mathematics, 1976 Osborn has shown that any quadratic algebra over a field of characteristic not two can be decomposed into a copy of the field and a skew-commutative algebra with a bilinear form. For any nonassociative algebra \(G\) over a field of characteristic not two, Albert and Oehmke have defined an algebra over the same vector space, which is bonded to \(G\) by ...
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Witt groups of Severi-Brauer varieties and of function fields of conics [PDF]
Épijournal de Géométrie AlgébriqueThe Witt group of skew hermitian forms over a division algebra $D$ with symplectic involution is shown to be canonically isomorphic to the Witt group of symmetric bilinear forms over the Severi-Brauer variety of $D$ with values in a suitable line bundle.
Anne Quéguiner-Mathieu +1 more
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, 2004 Relying upon the division-algebra classification of Clifford algebras and spinors, a classification of generalized supersymmetries (or, with a slight abuse of language,"generalized supertranslations") is provided.
C. Fronsdal +17 more
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