Results 71 to 80 of about 23,968 (185)

A Generalization of the First Tits Construction

open access: yesAxioms
Let F be a field of characteristic, not 2 or 3. The first Tits construction is a well-known tripling process to construct separable cubic Jordan algebras, especially Albert algebras.
Thomas Moran, Susanne Pumpluen
doaj   +1 more source

On Primitive Jordan Algebras

open access: yesJournal of Algebra, 1994
The authors have classified the primitive Jordan algebras over a field of characteristic \(\neq 2\). This classification is based on that of \textit{E. Zelmanov} [Sib. Math. J. 24, 73-85 (1983); translation from Sib. Mat. Zh. 24, No. 1(137), 89-104 (1983; Zbl 0534.17009)] concerning prime nondegenerate Jordan algebras, and on the following theorems ...
Anquela, José Angel   +2 more
openaire   +1 more source

Hyers–Ulam Stability of Solution for Generalized Lie Bracket of Derivations

open access: yesJournal of Mathematics
In this work, we present a new concept of additive-Jensen s-functional equations, where s is a constant complex number with ...
Vahid Keshavarz, Mohammad Taghi Heydari
doaj   +1 more source

Characterization of Pseudo n-Jordan Homomorphisms Between Unital Algebras

open access: yesپژوهش‌های ریاضی, 2020
Let A and B be Banach algebras and B be a right A-module. In this paper, under special hypotheses we prove that every pseudo (n+1)-Jordan homomorphism f:A----> B is a pseudo n-Jordan homomorphism and every pseudo n-Jordan homomorphism is an n-Jordan ...
Abbas Zivari-Kazempour, Abasalt Bodaghi
doaj  

A Lie product type formula in Euclidean Jordan algebras

open access: yesSpecial Matrices, 2016
In this paper,we state and prove an analog of Lie product formula in the setting of Euclidean Jordan algebras.
Tao Jiyuan
doaj   +1 more source

Superderivations and Jordan superderivations of generalized quaternion algebras [PDF]

open access: yesJournal of Mahani Mathematical Research
Let $H_{\alpha,\beta}$ be the generalized quaternion algebra over a unitary commutative ring. This paper aims to consider superderivations and Jordan superderivations of $H_{\alpha,\beta}$ and hence to obtain the superalgebra $Der_{s} (H_{\alpha,\beta})$
Leila Heidari Zadeh
doaj   +1 more source

Conditional Probability, Three-Slit Experiments, and the Jordan Algebra Structure of Quantum Mechanics

open access: yesAdvances 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

On Special Jordan Algebras [PDF]

open access: yesTransactions of the American Mathematical Society, 1947
for a and b in e is called quasimultiplication, and any linear subspace X over 8 of e which is closed with respect to this operation forms a corresponding algebra W. We call an algebra isomorphic to such an algebra a special Jordan algebra and see that special Jordan algebras are commutative but not, in general, associative.
openaire   +2 more sources

Jordan and Local Multipliers on Certain Banach Algebras are Multipliers [PDF]

open access: yesSahand Communications in Mathematical Analysis
We prove that every continuous Jordan multiplier $T$ from a  $C^*$-algebra $A$ into a Banach $A$-bimodule $X$ is a multiplier. We also characterize continuous linear maps on $C^*$-algebras and standard operator algebras determined by preserving some ...
Abbas Zivari-Kazempour, Ahmad Minapoor
doaj   +1 more source

n-Jordan multipliers [PDF]

open access: yesSurveys in Mathematics and its Applications, 2018
Let A be a Banach algebra, X be a Banach left A-module and n ≥ 2 be an integer. A bounded linear operator T: A → X is called an n-Jordan multiplier if for each a ∈ A, T(an)=a· T(an-1).
Mohammad Fozouni
doaj  

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