Results 61 to 70 of about 189,405 (333)
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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Advanced Theory and Simulations, EarlyView.This work proposes a surface elasticity‐based nonlocal model for analyzing the vibrations of bi‐directionally graded tapered nanobeam. The results demonstrate that, in absence of surface effect, the increasing value of tapered parameter leads to stiffness‐hardening of the nanobeam. However, the consideration of surface effect changes this trend and the
Chinika Dangi, Susmita Naskar
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Rings with involution whose symmetric elements are central
International Journal of Mathematics and Mathematical Sciences, 1980 In a ring R with involution whose symmetric elements S are central, the skew-symmetric elements K form a Lie algebra over the commutative ring S. The classification of such rings which are 2-torsion free is equivalent to the classification of Lie ...
Taw Pin Lim
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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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Label‐Free 3D Photoacoustic Imaging of Tumor Organoids for Volumetric Drug Screening
Advanced Science, EarlyView.A label‐free organoid photoacoustic imaging (LFOPI) system is developed for precise volumetric drug screening evaluation. As a proof of concept, LFOPI's performance in chemotherapy and immunotherapy drug screening assays are further evaluated. The LFOPI offers unique non‐invasive, label‐free capabilities for tumor organoids, and contributes to the ...
Xiaofei Luo +18 more
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On lattice models of gapped phases with fusion category symmetries
Journal of High Energy Physics, 2022 We construct topological quantum field theories (TQFTs) and commuting projector Hamiltonians for any 1+1d gapped phases with non-anomalous fusion category symmetries, i.e. finite symmetries that admit SPT phases.
Kansei Inamura
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On the size of the genus of a division algebra [PDF]
, 2015 Let D be a central division algebra of degree n over a field K. One defines the genus gen(D) as the set of classes [D′] ∈ Br(K) in the Brauer group of K represented by central division algebras D′ of degree n over K having the same maximal subfields as D.
V. Chernousov +2 more
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Advanced Science, EarlyView.A systematic computational framework is developed for practical identifiability analysis in biological models. The framework establishes a rigorous definition, introduces efficient coordinate‐based identifiability metrics, and proposes novel regularization strategies.
Shun Wang, Wenrui Hao
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Division algebras over Henselian fields
Journal of Algebra, 1990 In this chapter we focus on the tame division algebras D with center a field F with Henselian valuation v. As usual, we approach this by first obtaining results for graded division algebras, then lifting back from \(\operatorname {\mathsf {gr}}(D)\) to D.
Bill Jacob, Adrian R. Wadsworth
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