Results 91 to 100 of about 3,001,107 (332)

Interaction of non-Abelian tensor gauge fields

Physics Letters B, 2018
The non-Abelian tensor gauge fields take value in extended Poincaré algebra. In order to define the invariant Lagrangian we introduce a vector variable in two alternative ways: through the transversal representation of the extended Poincaré algebra and ...
George Savvidy
doaj   +1 more source

Enveloping algebras that are principal ideal rings

, 2017
Let $L$ be a restricted Lie algebra over a field of positive characteristic. We prove that the restricted enveloping algebra of $L$ is a principal ideal ring if and only if $L$ is an extension of a finite-dimensional torus by a cyclic restricted Lie ...
Siciliano, Salvatore, Usefi, Hamid
core   +1 more source

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.
openaire   +2 more sources

Modular adjacency algebras of Dual polar schemes [PDF]

arXiv, 2015
We can define the adjacency algebra of an association scheme over arbitrary field. It is not always semisimple over a field of positive characteristic. The structures of adjacency algebras over a field of positive characteristic have not been sufficiently studied.
arxiv  

Edge of Chaos Theory Unveils the First and Simplest Ever Reported Hodgkin–Huxley Neuristor

Advanced Electronic Materials, EarlyView.
This manuscript presents the first and simplest ever‐reported electrical cell, which leverages one memristor on Edge of Chaos to reproduce the three‐bifurcation cascade, marking the entire life cycle from birth to extinction via All‐to‐None effect of an electrical spike, also referred to as Action Potential, across axon membranes under monotonic ...
Alon Ascoli, Ahmet Samil Demirkol, Ioannis Messaris, Vasilis Ntinas, Dimitris Prousalis, Stefan Slesazeck, Thomas Mikolajick, Fernando Corinto, Michele Bonnin, Marco Gilli, Pier Paolo Civalleri, Ronald Tetzlaff, Leon Chua   +12 more
wiley   +1 more source

Roots of unity in definite quaternion orders

, 2014
A commutative order in a quaternion algebra is called selective if it is embeds into some, but not all, the maximal orders in the algebra. It is known that a given quadratic order over a number field can be selective in at most one indefinite quaternion ...
Arenas-Carmona, Luis
core   +2 more sources

Endomorphism property of vertex operator algebras over arbitrary fields [PDF]

arXiv, 2022
In this paper, we study the endomorphism properties of vertex operator algebras over an arbitrary field $\mathbb{F}$, with $\text{Char}(\mathbb{F}) \neq 2$. Let $V$ be a strongly finitely generated vertex operator algebra over $\mathbb{F}$, and $M$ be an irreducible admissible $V$-module.
arxiv  

Sustainable Thermal Solutions: Enhancing Heat Transfer with Turbulators and Nanofluids

Advanced Energy and Sustainability Research, EarlyView.
Nanofluids, which are nanoparticle suspensions in base fluid, facilitate heat transmission due to their improved thermal conductivity. Turbulators, which are inserts into fluid flow channels, disturb the flow, increasing turbulence and hence the heat transfer rate.
Zafar Said, Aggrey Mwesigye, Lingala Syam Sundar, Arun Kumar Tiwari, Kalidasan Balasubramanian, Hafiz Muhammad Ali, Evangelos Bellos, Chaerin Gim, Mohammad Shamsuddin Ahmed, Jang‐Yeon Hwang   +9 more
wiley   +1 more source

Non-finitary Generalizations of Nil-triangular Subalgebras of Chevalley Algebras

Известия Иркутского государственного университета: Серия "Математика", 2019
Let $N\Phi(K)$ be a niltriangular subalgebra of Chevalley algebra over a field or ring $K$ associated with root system $\Phi$ of classical type. For type $A_{n-1}$ it is associated to algebra $NT(n,K)$ of (lower) nil-triangular $n \times n$- matrices ...
J. V. Bekker, V. M. Levchuk, E. A. Sotnikova   +2 more
doaj   +1 more source

Unimodular rows over affine algebras over algebraic closure of a finite field

Journal of Algebra and Its Applications, 2022
In this paper, we prove that if [Formula: see text] is an affine algebra of dimension [Formula: see text] over [Formula: see text] and [Formula: see text] then any unimodular row over [Formula: see text] of length [Formula: see text] can be mapped to a factorial row by elementary transformations.
openaire   +2 more sources