Results 21 to 30 of about 3,742 (131)

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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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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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

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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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

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.
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Noncommutative Jordan algebras of characteristic 0 [PDF]

Proceedings of the American Mathematical Society, 1955
That is, A is flexible (a weaker condition than commutativity). If a unity element is adjoined to A in the usual fashion, then a necessary and sufficient condition that (2) be satisfied in the extended algebra is that both (2) and (3) be satisfied in A. We define a noncommutative Jordan algebra A over an arbitrary field F to be an algebra satisfying (1)
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On Generalizations of Jacobi–Jordan Algebras

Axioms
In this paper, we present some generalizations of Jacobi–Jordan algebras. More concretely, we will focus on noncommutative Jacobi–Jordan algebras, Malcev–Jordan algebras, and general Jacobi–Jordan algebras.
Hani Abdelwahab, Naglaa Fathi Abdo, Elisabete Barreiro, José María Sánchez   +3 more
doaj   +1 more source

Colour Algebras over Rings

Axioms
Colour algebras are noncommutative Jordan algebras and closely related to octonion algebras. They initially emerged in physics since the multiplication of a colour algebra over the real or complex numbers describes the colour symmetry of the Gell–Mann ...
Susanne Pumplün
doaj   +1 more source

Structure theory for noncommutative Jordan H∗-algebras

Journal of Algebra, 1987
The theory of associative Hilbert algebras as developed in [\textit{W. Ambrose}, Trans. Am. Math. Soc. 57, 364-386 (1945; Zbl 0060.269)] has been extended to various classes of nonassociative algebras, among them Jordan algebras, cf. [\textit{C. Viola Devapakkiam}, Math. Proc. Camb. Philos. Soc. 78, 293-300 (1975; Zbl 0357.17015) and with \textit{P. S.
Mira, JoséAntonio Cuenca, Palacios, Angel Rodriguez   +1 more
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