Results 21 to 30 of about 6,951 (120)

On Jordan mappings of inverse semirings

Open Mathematics, 2017
In this paper, the notions of Jordan homomorphism and Jordan derivation of inverse semirings are introduced. A few results of Herstein and Brešar on Jordan homomorphisms and Jordan derivations of rings are generalized in the setting of inverse semirings.
Shafiq Sara, Aslam Muhammad
doaj   +1 more source

Composites and Categories of Euclidean Jordan Algebras [PDF]

, 2019
We consider possible non-signaling composites of probabilistic models based on euclidean Jordan algebras (EJAs), satisfying some reasonable additional constraints motivated by the desire to construct dagger-compact categories of such models. We show that
Barnum, Howard, Graydon, Matthew A., Wilce, Alexander   +2 more
core   +3 more sources

Approximate 𝑛-Lie Homomorphisms and Jordan 𝑛-Lie Homomorphisms on 𝑛-Lie Algebras

Abstract and Applied Analysis, 2012
Using fixed point methods, we establish the stability of 𝑛-Lie homomorphisms and Jordan 𝑛-Lie homomorphisms on 𝑛-Lie algebras associated to the following generalized Jensen functional equation ∑𝜇𝑓(𝑛𝑖=1𝑥𝑖∑/𝑛)+𝜇𝑛𝑗=2∑𝑓(𝑛𝑖=1,𝑖≠𝑗𝑥𝑖−(𝑛−1)𝑥𝑗/𝑛)=𝑓(𝜇𝑥1)(𝑛≥2).
M. Eshaghi Gordji, G. H. Kim
doaj   +1 more source

Stability of -Jordan Homomorphisms from a Normed Algebra to a Banach Algebra

Abstract and Applied Analysis, 2013
We establish the hyperstability of -Jordan homomorphisms from a normed algebra to a Banach algebra, and also we show that an -Jordan homomorphism between two commutative Banach algebras is an -ring homomorphism.
Yang-Hi Lee
doaj   +1 more source

PI theory for Associative Pairs [PDF]

, 2019
We extend the classical associative PI-theory to Associative Pairs, and in doing so, we introduce related notions already present for algebras (and Jordan systems) as the ones of PI-element and PI-ideal, extended centroid and central ...
Montaner, F., Paniello, I.
core   +2 more sources

Extending a Jordan Ring Homomorphism [PDF]

Proceedings of the American Mathematical Society, 1973
In this paper a homomorphism from an ideal B \mathcal {B} of a quadratic Jordan algebra J \mathcal {J} without 2 2 -torsion over a ring Φ \Phi onto a unital quadratic Jordan algebra J ′ \mathcal {J}’ without
openaire   +2 more sources

Is every toric variety an M-variety? [PDF]

, 2005
A complex algebraic variety X defined over the real numbers is called an M-variety if the sum of its Betti numbers (for homology with closed supports and coefficients in Z/2) coincides with the corresponding sum for the real part of X.
A. Borel, C. Allday, C. McCrory, Clint McCrory, D. Biss, Frédéric Bihan, G. Wilson, H. Duistermaat, I. Gelfand, Joost van Bihan, M. Brion, M. Davis, Matthias Franz, S. Mac Lane, T. Oda, V.I. Danilov, W. Fulton   +16 more
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Linear maps preserving G-unitary operators in Hilbert space

Arab Journal of Mathematical Sciences, 2015
Let H be a complex Hilbert space and B(H) the algebra of all bounded linear operators on H. We give the concrete forms of surjective continuous unital linear maps from B(H) onto itself that preserve G-unitary operators.
Abdellatif Chahbi, Samir Kabbaj
doaj   +1 more source

Orthogonally Additive and Orthogonality Preserving Holomorphic Mappings between C*-Algebras

Abstract and Applied Analysis, 2013
We study holomorphic maps between C*-algebras A and B, when f:BA(0,ϱ)→B is a holomorphic mapping whose Taylor series at zero is uniformly converging in some open unit ball U=BA(0,δ).
Jorge J. Garcés, Antonio M. Peralta, Daniele Puglisi, María Isabel Ramírez   +3 more
doaj   +1 more source

Jordan triple product homomorphisms on Hermitian matrices of dimension two

, 2016
We characterise all Jordan triple product homomorphisms, that is, mappings $\Phi$ satisfying $$ \Phi(ABA) = \Phi(A)\Phi(B)\Phi(A) $$ on the set of all Hermitian $2 \times 2$ complex matrices.Comment: 34 ...
Bukovsek, Damjana Kokol, Mojskerc, Blaz
core   +1 more source