Results 101 to 110 of about 3,027,910 (286)

Colour algebras over rings [PDF]

arXiv
Colour algebras over fields of odd characteristic are well-known noncommutative Jordan algebras. We define colour algebras more generally over a unital commutative associative ring with $\frac{1}{2}\in R$, and show that colour algebras can be constructed canonically by employing nondegenerate ternary hermitian forms with trivial determinant.
arxiv  

Realization of graded matrix algebras as Leavitt path algebras [PDF]

Beitr\"age zur Algebra und Geometrie, 61 (4) (2020), 771 - 781, 2019
While every matrix algebra over a field $K$ can be realized as a Leavitt path algebra, this is not the case for every graded matrix algebra over a graded field. We provide a complete description of graded matrix algebras over a field, trivially graded by the ring of integers, which are graded isomorphic to Leavitt path algebras.
arxiv  

Algebras over infinite fields [PDF]

, 1956
A. S. Amitsur
openalex   +1 more source

Dark Energy From the Gravitational Wave Background With Scalar Field Dark Matter

Astronomische Nachrichten, EarlyView.
ABSTRACT Recent observational results, such as those from pulsar timing arrays (PTA), suggest a low‐frequency Gravitational Wave Background (GWB) permeates our universe. This opens the possibility that gravitational waves could span a broader spectrum, potentially impacting cosmological scales.
Edwin L. Pérez‐Ochoa, Tonatiuh Matos
wiley   +1 more source

Compressibility Function and Speed of Sound in the Non‐Commutative Quantum Hadrodynamics Type‐I Model for Neutron Stars

Astronomische Nachrichten, EarlyView.
ABSTRACT We investigate the effects of a minimal measurable length on neutron stars, within the quantum hadrodynamics (QHD‐I) model modified by the Generalized Uncertainty Principle (GUP). Working in a deformed Poisson algebra framework, we incorporate GUP effects via a time‐invariant transformation of the phase space volume, effectively reducing the ...
João Gabriel Galli Gimenez, Dimiter Hadjimichef, César A. Zen Vasconcellos   +2 more
wiley   +1 more source

Admissible groups, symmetric factor sets, and simple algebras

International Journal of Mathematics and Mathematical Sciences, 1984
Let K be a field of characteristic zero and suppose that D is a K-division algebra; i.e. a finite dimensional division algebra over K with center K. In Mollin [1] we proved that if K contains no non-trivial odd order roots of unity, then every finite odd
R. A. Mollin
doaj   +1 more source

Division Algebras Over Fields of Formal Power Series [PDF]

, 1951
J. T. Moore
openalex   +1 more source

Transfer Learning‐Based Data‐Fusion Model Framework for State of Health Estimation of Power Battery Packs

Battery Energy, EarlyView.
To handle nonlinearity and feature coupling, a data‐driven aging model is proposed, employing dual Gaussian Process Regressions and transfer learning to enhance model efficiency and accuracy. Adaptive filtering refines the model by integrating aging features and output capacity, resulting in a closed‐loop data fusion framework for SOH estimation ...
Zhiqiang Lyu, Xinyuan Wei, Longxing Wu, Chunhui Liu   +3 more
wiley   +1 more source

Lie algebras whose derivation algebras are simple [PDF]

arXiv
It is well known that a finite-dimensional Lie algebra over a field of characteristic zero is simple exactly when its derivation algebra is simple. In this paper we characterize those Lie algebras of arbitrary dimension over any field that have a simple derivation algebra.
arxiv  

Ramification of Quaternion Algebras over Stable Elliptic Surfaces [PDF]

Rend. Sem. Mat. Torino 67 (2009), no. 3, 363--372, 2007
We give a geometrical criterion to determine when a quaternion algebra over the function field of a stable elliptic surface X is an Azumaya algebra over X.
arxiv