Results 41 to 50 of about 189,405 (333)

p-Algebras over an algebraic function field over a perfect field

Journal of Algebra, 1986
Verf. beweist folgenden Satz: Sei K ein algebraischer Funktionen-Körper in r Variablen über einem vollkommenen Körper. Jede p-Algebra A über K ist Brauer-äquivalent dem Kroneckerprodukt von r zyklischen Divisionsalgebren \(D_ i\) mit Exponent \(D_ i=Index D_ i\) und Exponent \(D_ i\leq Exponent A\). Für \(r=1\) ist das ein bekannter Satz von A.
openaire   +3 more sources

On derivations of linear algebras of a special type

Дифференциальная геометрия многообразий фигур
In this work, Lie algebras of differentiation of linear algebra, the op­eration of multiplication in which is defined using a linear form and two fixed elements of the main field are studied. In the first part of the work, a definition of differentiation
A. Ya. Sultanov , O. A. Monakhova, O. V. Bolotnikova   +2 more
doaj   +1 more source

Gradings on Algebras over Algebraically Closed Fields [PDF]

, 2016
The classification, both up to isomorphism or up to equivalence, of the gradings on a finite dimensional nonassociative algebra A over an algebraically closed field F, such that its group scheme of automorphisms is smooth, is shown to be equivalent to the corresponding problem for the scalar extension A_K for any algebraically closed field extension K.
openaire   +3 more sources

Hydrogel‐Based Capacitive Sensor Model for Ammonium Monitoring in Aquaculture

Advanced Engineering Materials, EarlyView.
Traditional techniques for monitoring aquaculture water quality, particularly ammonium levels, harm fish. This work presents a novel capacitive sensor with an ionic hydrogel transducer to monitor ammonium concentration in real time based on the ammonium‐induced hydrogel dissociation and osmotic pressure. Monitoring aquaculture water quality, especially
Mohammad Mirzaee, Mahdi Askari‐sedeh, Ali Zolfagharian, Mostafa Baghani   +3 more
wiley   +1 more source

Theorem on the norm of elements of spinor groups

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2011
In this article we consider Clifford's algebra over the field of real numbers of finite dimension. We define the operation of Hermitian conjugation for the elements of Clifford's algebra.
D. S. Shirokov
doaj   +3 more sources

Soft‐Layered Composites with Wrinkling‐Activated Multi‐Linear Elastic Behavior, Stress Mitigation, and Enhanced Strain Energy Storage

Advanced Engineering Materials, EarlyView.
In this study, exciting new bi‐/multi‐linear elastic behavior of soft elastic composites that accompany the activation of wrinkling in the embedded interfacial layers is analyzed. The new features and performance of these composite materials, including dramatic enhancements in energy storage, can be tailored by the concentration of interfacial layers ...
Narges Kaynia, Nicholas Xuanlai Fang, Mary C. Boyce   +2 more
wiley   +1 more source

The Variety of Two-dimensional Algebras Over an Algebraically Closed Field [PDF]

Canadian Journal of Mathematics - Journal Canadien de Mathematiques, 2017
The work is devoted to the variety of two-dimensional algebras over algebraically closed fields. First we classify such algebras modulo isomorphism.
I. Kaygorodov, Y. Volkov
semanticscholar   +1 more source

Topology in Biological Piezoelectric Materials

Advanced Materials, EarlyView.
This review summarizes the topological structures in biological piezoelectric materials, covering morphology evolution, spatial arrangement, and biomimetic strategies. These topologies modulate structure‐property relationships across multiple scales, enabling performance enhancement and multifunctional integration.
Chen Chen, Yanhu Zhang, Yi Zheng, Yi Zhang, Hongyi Liu, Jiang Wu, Liang Yang, Zhengbao Yang   +7 more
wiley   +1 more source

An elementary approach to the model structure on DG-Lie algebras [PDF]

Rendiconti di Matematica e delle Sue Applicazioni, 2023
This paper contains an elementary proof of the existence of the classical model structure on the category of unbounded DG-Lie algebras over a field of characteristic zero, with an emphasis on the properties of free and semifree extensions, which are ...
Emma Lepri
doaj  

Graphical Affine Algebra

Logic in Computer Science, 2019
Graphical linear algebra is a diagrammatic language allowing to reason compositionally about different types of linear computing devices. In this paper, we extend this formalism with a connector for affine behaviour.
F. Bonchi, R. Piedeleu, P. Sobocinski, F. Zanasi   +3 more
semanticscholar   +1 more source