Results 41 to 50 of about 435,085 (248)
Lattices of Annihilators in Commutative Algebras Over Fields
Demonstratio Mathematica, 2015 Let K be any field and L be any lattice. In this note we show that L is a sublattice of annihilators in an associative and commutative K-algebra. If L is finite, then our algebra will be finite dimensional over K.
Jastrzebska M., Krempa J.
doaj +1 more source
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 +2 more sources
On derivations of linear algebras of a special type
Дифференциальная геометрия многообразий фигурIn 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 +2 more
doaj +1 more source
Structure Theorems for Basic Algebras [PDF]
, 2011 A basic finite dimensional algebra over an algebraically closed field $k$ is isomorphic to a quotient of a tensor algebra by an admissible ideal. The category of left modules over the algebra is isomorphic to the category of representations of a finite ...
Berg, Carl Fredrik
core
On a filtered multiplicative basis of group algebras
, 2000 Let $K$ be a field of characteristic $p$ and $G$ a nonabelian metacyclic finite $p$-group. We give an explicit list of all metacyclic $p$-groups $G$, such that the group algebra $KG$ over a field of characteristic $p$ has a filtered multiplicative $K ...
Bovdi, Victor +1 more
core +2 more sources
Observation of Topological Chirality Switching Induced Freezing of a Skyrmion Crystal
Advanced Materials, EarlyView.Using Lorentz Transmission electron microscopy, it is shown that in the insulating van der Waals ferromagnet, CrBr3, a magnetic field can cause Bloch skyrmionic bubbles to spontaneously switch their chirality. As achiral type‐II bubbles are an intermediate state, the bubbles rapidly elongate and shrink when switching, thereby inducing a freezing of the
John Fullerton +10 more
wiley +1 more source
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
core +1 more source
Advanced Materials, EarlyView.Holographic microlithography enables the fabrication of fully connected 3D liquid crystalline structures in a single exposure. The process maintains precise control over the director orientation within the entire object, preventing local director distortions typically observed in sequential printing.
Lovish Gulati +8 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
openaire +2 more sources
Continuum Mechanics Modeling of Flexible Spring Joints in Surgical Robots
Advanced Robotics Research, EarlyView.A new mechanical model of a tendon‐actuated helical extension spring joint in surgical robots is built using Cosserat rod theory. The model can implicitly handle the unknown contacts between adjacent coils and numerically predict spring shapes from straight to significantly bent under actuation forces.
Botian Sun +3 more
wiley +1 more source