Results 71 to 80 of about 296,009 (261)
Quartic Poisson algebras and quartic associative algebras and realizations as deformed oscillator algebras [PDF]
, 2013 We introduce the most general quartic Poisson algebra generated by a second and a fourth order integral of motion of a 2D superintegrable classical system.
I. Marquette
semanticscholar +1 more source
On the noetherianity of some associative finitely presented algebras
Journal of Algebra, 1991 This paper is motivated by the question of when a finitely generated algebra over a field K is noetherian. The author is concerned with the class of so called strictly ordered algebras that are defined by means of certain conditions coming from the presentation \(K/I\) where I is an ideal of the free algebra \(K\).
openaire +2 more sources
The jordan regular ring associated to a finite JBW-algebra
Journal of Algebra, 1987 \textit{S. K. Berberian} [Ann. Math., II. Ser. 65, 224-240 (1957; Zbl 0085.099)] showed that a finite \(AW^*\)-algebra A can be embedded in a continuous *-regular ring R such that R has no new self-adjoint idempotents. The authors extend Berberian's results to a finite JBW- algebra A showing that A can be embedded in a von Neumann regular Jordan ring.
Garijo, Pedro Jimenez +1 more
openaire +2 more sources
A Unifying Approach to Self‐Organizing Systems Interacting via Conservation Laws
Advanced Intelligent Discovery, EarlyView.The article develops a unified way to model and analyze self‐organizing systems whose interactions are constrained by conservation laws. It represents physical/biological/engineered networks as graphs and builds projection operators (from incidence/cycle structure) that enforce those constraints and decompose network variables into constrained versus ...
F. Barrows +7 more
wiley +1 more source
Asymptotics of H-identities for associative algebras with an H-invariant radical [PDF]
, 2012 We prove the existence of the Hopf PI-exponent for finite dimensional associative algebras $A$ with a generalized Hopf action of an associative algebra $H$ with $1$ over an algebraically closed field of characteristic $0$ assuming only the invariance of ...
A. Gordienko
semanticscholar +1 more source
Advanced Intelligent Discovery, EarlyView.This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
wiley +1 more source
On the triplet vertex algebra W(p) [PDF]
, 2007 We study the triplet vertex operator algebra $\mathcal{W}(p)$ of central charge $1-\frac{6(p-1)^2}{p}$, $p \geq 2$. We show that $\trip$ is $C_2$-cofinite but irrational since it admits indecomposable and logarithmic modules. Furthermore, we prove that $\
Dražen Adamović, A. Milas
semanticscholar +1 more source
Advanced Intelligent Systems, EarlyView.This study proposes a deep learning approach to evaluate the fatigue crack behavior in metals under overload conditions. Using digital image correlation to capture the strain near crack tips, convolutional neural networks classify crack states as normal, overload, or recovery, and accurately predict fatigue parameters.
Seon Du Choi +5 more
wiley +1 more source
The augmented tridiagonal algebra [PDF]
, 2009 Motivated by investigations of the tridiagonal pairs of linear transformations, we introduce the augmented tridiagonal algebra ${\mathcal T}_q$. This is an infinite-dimensional associative ${\mathbb C}$-algebra with 1.
Tatsuro Ito, Paul M. Terwilliger
semanticscholar +1 more source
Long‐Range Interactions in Topological Superconducting Systems: A Mini Review
Advanced Physics Research, EarlyView.Long‐range interacting quantum systems are surveyed in this review, with an emphasis on the long‐range topological superconductor and its variants. Long‐range interactions decaying in a power‐law manner can lead to exotic phenomena that finds no analogue in short‐range regimes.
Juntong Ren, Haifeng Lü
wiley +1 more source