Results 51 to 60 of about 426,383 (324)
Embeddings of fields into simple algebras over global fields [PDF]
Asian Journal of Mathematics, 2014 Let $F$ be a global field, $A$ a central simple algebra over $F$ and $K$ a finite (separable or not) field extension of $F$ with degree $[K:F]$ dividing the degree of $A$ over $F$. An embedding of $K$ in $A$ over $F$ exists implies an embedding exists locally everywhere. In this paper we give detailed discussions when the converse (i.e.
Shih, Sheng-Chi +2 more
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Manipulating Individual Topological Solitons and Bisolitons in an Electronic System
Advanced Materials, EarlyView.While localized topological modes in quantum materials promise loss‐less delivery of classical and quantum information, manipulating them individually has been challenging. This work succeeded in manipulating topological solitons formed along atomic wires on silicon surfaces with high reproducibility in various ways, including translating, transforming
Taehwan Im +2 more
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$\mathbf {5 \times 5}$ -graded Lie algebras, cubic norm structures and quadrangular algebras
Forum of Mathematics, SigmaWe study simple Lie algebras generated by extremal elements, over arbitrary fields of arbitrary characteristic. We show the following: (1) If the extremal geometry contains lines, then the Lie algebra admits a $5 \times 5$ -grading that can be ...
Tom De Medts, Jeroen Meulewaeter
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Z_2-graded Gelfand-Kirillov dimension of the Grassmann algebra
, 2014 We consider the infinite dimensional Grassmann algebra E over a field F of characteristic 0 or p, where p>2, and we compute its Z_2-graded Gelfand-Kirillov dimension as a Z_2-graded PI ...
Centrone, Lucio
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ALGEBRAIC DIVISIBILITY SEQUENCES OVER FUNCTION FIELDS [PDF]
Journal of the Australian Mathematical Society, 2012 AbstractIn this note we study the existence of primes and of primitive divisors in function field analogues of classical divisibility sequences. Under various hypotheses, we prove that Lucas sequences and elliptic divisibility sequences over function fields defined over number fields contain infinitely many irreducible elements.
Ingram, P. +4 more
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Advanced Materials Interfaces, EarlyView.This study investigates the electromagnetic interference shielding performance of a multiphasic nanocomposite consisting of granular magnetic ferrite (α‐LiFe5O8/α‐LiFeO2) and conductive WS2 nanoflakes. It establishes a clear correlation between the shielding performance and relative fractions of the phases with distinct morphologies/dimensionalities ...
Sagnik Ghosh +9 more
wiley +1 more source
Semiassociative algebras over a field
Journal of AlgebraAn associative central simple algebra is a form of matrices, because a maximal étale subalgebra acts on the algebra faithfully by left and right multiplication. In an attempt to extract and isolate the full potential of this point of view, we study nonassociative algebras whose nucleus contains an étale subalgebra bi-acting faithfully on the algebra ...
Guy Blachar +4 more
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Theory of cyclic algebras over an algebraic number field [PDF]
Transactions of the American Mathematical Society, 1932 I present this paper for publication to an American journal and in English for the following reason: The theory of linear algebras has been greatly extended through the work of American mathematicians. Of late, German mathematicians have become active in this theory.
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Quaternion algebras over global fields [PDF]
, 2021 To motivate the classification of quaternion algebras over \(\mathbb Q \), we consider by analogy a classification of quadratic fields. We restrict to the following class of quadratic fields for the best analogy.
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SYMMETRIC ALGEBRAS OVER RINGS AND FIELDS [PDF]
Bulletin of the Australian Mathematical Society, 2013 AbstractConnections between annihilators and ideals in Frobenius and symmetric algebras are used to provide a new proof of a result of Nakayama on quotient algebras, and an application is given to central symmetric algebras.
Craven, Thomas, Smith, Tara
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