Results 21 to 30 of about 4,281 (128)

Factorizations of Elements in Noncommutative Rings: A Survey [PDF]

, 2016
We survey results on factorizations of non zero-divisors into atoms (irreducible elements) in noncommutative rings. The point of view in this survey is motivated by the commutative theory of non-unique factorizations.
A Geroldinger, A Leroy, A Loewy, AW Chatters, AW Chatters, D Bachman, D Haile, D Lissner, D Smertnig, DA Jordan, DR Estes, DR Estes, DR Estes, DR Estes, E Hallouin, E Jespers, E Jespers, E Landau, G Grätzer, G Hegedüs, G Hegedüs, GQ Abbasi, H Cohn, H Fitting, H Marubayashi, H-H Brungs, I Gelfand, J Bergen, J Delenclos, J Towber, JH Conway, KR Goodearl, L Bruyn Le, M Chamarie, M-F Vignéras, MP Gilchrist, NR Baeth, NR Baeth, PM Cohn, PM Cohn, PM Cohn, PM Cohn, PM Cohn, PM Cohn, PM Cohn, PM Cohn, RA Beauregard, RA Beauregard, RA Beauregard, RA Beauregard, RA Beauregard, RA Beauregard, RA Beauregard, RA Beauregard, RA Beauregard, TY Lam, V Retakh   +56 more
core   +1 more source

The algebraic and geometric classification of nilpotent noncommutative Jordan algebras [PDF]

Journal of Algebra and Its Applications, 2020
We give algebraic and geometric classifications of complex four-dimensional nilpotent noncommutative Jordan algebras. Specifically, we find that, up to isomorphism, there are only [Formula: see text] non-isomorphic nontrivial nilpotent noncommutative Jordan algebras.
Jumaniyozov, Doston, Kaygorodov, Ivan, Khudoyberdiyev, Abror   +2 more
openaire   +2 more sources

Lie-admissible, nodal, noncommutative Jordan algebras [PDF]

Transactions of the American Mathematical Society, 1971
The main theorem is that if \(A\) is a central simple flexible algebra, with an identity, of arbitrary dimension over a field \(F\) of characteristic not 2, and if \(A\) is Lie-admissible and \(A^+\) is associative, then \(\operatorname{ad}(A)'=[A,A]/F\) is a simple Lie algebra. The proof is modeled on \textit{I. N.
openaire   +2 more sources

Noncommutative Jordan algebras of capacity two [PDF]

Transactions of the American Mathematical Society, 1971
Let J J be a noncommutative Jordan algebra with 1. If J J has two orthogonal idempotents e e and f f such that 1 = e + f 1 = e + f and such that the Peirce 1 1 -spaces of each are Jordan division rings, then
openaire   +2 more sources

A Century of Turbulent Cascades and the Emergence of Multifractal Operators

Earth and Space Science, Volume 7, Issue 3, March 2020., 2020
Abstract A century of cascades and three decades of multifractals have built up a truly interdisciplinary framework that has enabled a new approach and understanding of nonlinear phenomena, in particular, in geophysics. Nevertheless, there seems to be a profound gap between the potentials of multifractals and their actual use.
Daniel Schertzer, Ioulia Tchiguirinskaia
wiley   +1 more source

Restricted noncommutative Jordan algebras of characteristic 𝑝 [PDF]

Proceedings of the American Mathematical Society, 1958
In [7]2 we obtained a satisfactory structure theory for these algebras of finite dimension over F of characteristic 0 by proving that they are trace-admissible. Recent examples by L. A. Kokoris [4] show that the algebras satisfying (1) and (2) are not in general traceadmissible if F is of characteristic p > 2. It is natural to seek a generalization of (
openaire   +1 more source

Dirichlet Type Problem for 2D Quaternionic Time‐Harmonic Maxwell System in Fractal Domains

Advances in Mathematical Physics, Volume 2020, Issue 1, 2020., 2020
We investigate an electromagnetic Dirichlet type problem for the 2D quaternionic time‐harmonic Maxwell system over a great generality of fractal closed type curves, which bound Jordan domains in R2. The study deals with a novel approach of h‐summability condition for the curves, which would be extremely irregular and deserve to be considered fractals ...
Yudier Peña Pérez, Ricardo Abreu Blaya, Paul Bosch, Juan Bory Reyes, Ping Li   +4 more
wiley   +1 more source

Reversible skew laurent polynomial rings and deformations of poisson automorphisms [PDF]

, 2009
A skew Laurent polynomial ring S = R[x(+/- 1); alpha] is reversible if it has a reversing automorphism, that is, an automorphism theta of period 2 that transposes x and x(-1) and restricts to an automorphism gamma of R with gamma = gamma(-1).
DAVID A. JORDAN, Devaney R., Krause G. R., Lorenz M., McConnell J. C., NONGKHRAN SASOM, O'Farrell A. G., Passman D. S.   +7 more
core   +2 more sources

Infinite Nodal Noncommutative Jordan Algebras; Differentiably Simple Algebras [PDF]

Transactions of the American Mathematical Society, 1971
The first result is that any differentiably simple algebra of the form A = F 1 + R A = F1 + R , for R a proper ideal, 1 the identity element, and F the base field, must be a subalgebra of a (commutative associative) power series algebra over F, and is truncated if the characteristic is not zero.
openaire   +1 more source

Modified Novikov Operators and the Kastler‐Kalau‐Walze‐Type Theorem for Manifolds with Boundary

Advances in Mathematical Physics, Volume 2020, Issue 1, 2020., 2020
In this paper, we give two Lichnerowicz‐type formulas for modified Novikov operators. We prove Kastler‐Kalau‐Walze‐type theorems for modified Novikov operators on compact manifolds with (respectively without) a boundary. We also compute the spectral action for Witten deformation on 4‐dimensional compact manifolds.
Sining Wei, Yong Wang, John D. Clayton
wiley   +1 more source