Results 21 to 30 of about 3,743 (118)

Some nodal noncommutative Jordan algebras [PDF]

Proceedings of the American Mathematical Society, 1958
2. S. Lefschetz, Algebraic geometry, Princeton, 1953. 3. H. Levi, On the structure of differential polynomials and on their theory of ideals, Trans. Amer. Math. Soc. vol. 51 (1942) pp. 532-568. 4. J. F. Ritt, Differential algebra, Amer. Math. Soc. Colloquium Publications, vol. 33, New York, 1950. 5. A.
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On fixed points of self maps of the free ball [PDF]

, 2018
In this paper, we study the structure of the fixed point sets of noncommutative self maps of the free ball. We show that for such a map that fixes the origin the fixed point set on every level is the intersection of the ball with a linear subspace.
Abate, Agler, Agler, Agler, Agler, Agler, Agler, Agler, Arazy, Arias, Arveson, Augat, Ball, Ball, Belinschi, Bunce, Chakrabarti, Davidson, Davidson, Davidson, Davidson, Davidson, Davidson, Drury, Eli Shamovich, Evans, Farenick, Franzoni, Frazho, Fritz, Garnett, Helton, Helton, Helton, Helton, Helton, Helton, Hervé, Kaliuzhnyi-Verbovetskyi, Kobayashi, Lempert, Lewis, McCarthy, Muhly, Muhly, Muhly, Muhly, Passer, Popa, Popescu, Popescu, Popescu, Popescu, Popescu, Popescu, Popescu, Popescu, Popescu, Popescu, Rudin, Salomon, Salomon, Taylor, Taylor, Vesentini, Vesentini, Vigué, Vigué, Voiculescu, Voiculescu, Voiculescu, Voiculescu   +71 more
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Conditional Probability, Three-Slit Experiments, and the Jordan Algebra Structure of Quantum Mechanics

Advances in Mathematical Physics, 2012
Most quantum logics do not allow for a reasonable calculus of conditional probability. However, those ones which do so provide a very general and rich mathematical structure, including classical probabilities, quantum mechanics, and Jordan algebras. This
Gerd Niestegge
doaj   +1 more source

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
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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
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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.
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Magnetic monopoles and nonassociative deformations of quantum theory [PDF]

, 2017
We examine certain nonassociative deformations of quantum mechanics and gravity in three dimensions related to the dynamics of electrons in uniform distributions of magnetic charge.
Szabo, Richard J.
core   +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
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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 (
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