Results 71 to 80 of about 3,162,927 (375)
On degenerations of algebras over an arbitrary field
For each $n\ge2$ we classify all $n$-dimensional algebras over an arbitrary infinite field which have the property that the $n$-dimensional abelian Lie algebra is their only proper degeneration.
Nataliya M. Ivanova+1 more
openaire +3 more sources
Mechanical metamaterials capable of compressive stiffness tunability, shape morphing, and post‐fabrication modularity. Herein, the 3D unit cell design is based on an assembly of bistable von Mises trusses that exhibit a switch in compressive stiffness and resting height from one stable state to the other.
Yannis Liétard+2 more
wiley +1 more source
Noetherian algebras over algebraically closed fields
Let $k$ be an uncountable algebraically closed field and let $A$ be a countably generated left Noetherian $k$-algebra. Then we show that $A \otimes_k K$ is left Noetherian for any field extension $K$ of $k$. We conclude that all subfields of the quotient division algebra of a countably generated left Noetherian domain over $k$ are finitely generated ...
openaire +3 more sources
Understanding the Role of Hydrogen and Oxygen in Electronic Phase Changes of Nickelates
The reversible exchange of hydrogen and oxygen in solids is key to their electronic and electro‐chemical functionality. A combination of methods is employed to study the interaction of hydrogen with a prototypical quantum material in a non‐destructive and time‐dependent manner.
Laura Guasco+12 more
wiley +1 more source
Scaling‐down biopharmaceutical production processes via a single multi‐compartment bioreactor (SMCB)
Abstract Biopharmaceutical production processes often use mammalian cells in bioreactors larger than 10,000 L, where gradients of shear stress, substrate, dissolved oxygen and carbon dioxide, and pH are likely to occur. As former tissue cells, producer cell lines such as Chinese hamster ovary (CHO) cells sensitively respond to these mixing ...
Lena Gaugler+5 more
wiley +1 more source
Actions of formal groups on special quotients of algebras
Let k be a field of characteristic p > 0 and let F be a one dimensional commutative formal group over k. The endomorphisms of a k-algebra A that defines an action of F on A when A is isomorphic to the quotient B/pB, with B torsion-free Z-algebra, are ...
Restuccia, G, Crupi, M
doaj +1 more source
Synthetic Active Liquid Crystals Powered by Acoustic Waves
A fully synthetic active liquid crystal, energized by an acoustic field, is presented. This system exhibits active nematic behavior, tunable topological defect dynamics, and persistent hydrodynamic vortices at high activity levels. The material maintains stable properties while enabling precise activity control in a wide range.
Andrey Sokolov+3 more
wiley +1 more source
Leibniz algebras: a brief review of current results
Let $L$ be an algebra over a field $F$ with the binary operations $+$ and $[\cdot,\cdot]$. Then $L$ is called a left Leibniz algebra if it satisfies the left Leibniz identity $[[a,b],c]=[a,[b,c]]-[b,[a, c]]$ for all $a,b,c\in L$.
V.A. Chupordia+3 more
doaj +1 more source
Kemer's Theorem for Affine PI Algebras Over a Field of Characteristic Zero [PDF]
We present a proof of Kemer's representability theorem for affine PI algebras over a field of characteristic zero.
arxiv +1 more source
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+3 more
semanticscholar +1 more source