Results 31 to 40 of about 6,951 (120)

Jordan triple product homomorphisms on Hermitian matrices to and from dimension one

, 2015
We characterise all Jordan triple product homomorphisms, that is, mappings $\Phi$ satisfying $$ \Phi(ABA) = \Phi(A)\Phi(B)\Phi(A) $$ from the set of all Hermitian $n \times n$ complex matrices to the field of complex numbers.
Bukovsek, Damjana Kokol, Mojskerc, Blaz
core   +1 more source

Jordan homomorphisms revisited

Mathematical Proceedings of the Cambridge Philosophical Society, 2008
AbstractLet θ be a Jordan homomorphism from an algebraAinto an algebraB. We find various conditions under which the restriction of θ to the commutator ideal ofAis the sum of a homomorphism and an antihomomorphism. Algebraic results, obtained in the first part of the paper, are applied to the second part dealing with the case whereAandBareC*-algebras.
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Jordan Triple Product Homomorphisms

Monatshefte für Mathematik, 2006
A Jordan triple product homomorphism is a map \(\varphi\) from a ring \(A\) into a ring \(B\) which satisfies \(\varphi(aba)=\varphi(a)\varphi(b)\varphi(a)\) for all \(a,b\in A\). From a result by \textit{F. Lu} [Linear Algebra Appl. 375, 311-317 (2003; Zbl 1061.47033)] it follows that a bijective Jordan triple product homomorphism \(\varphi\colon M_n ...
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Jordan homomorphisms and right alternative rings [PDF]

Proceedings of the American Mathematical Society, 1957
for every a, bER. R. L. San Soucie [4] calls a nonassociative ring R strongly right alternative in case its right multiplications a': x-*xa satisfy (I) and (II). (Every right alternative ring in which 2a=0 implies a=0 is strongly right alternative just as (I) implies (II) under the same assumption in the associative case.) In a recent paper [5] we ...
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Graphical small cancellation and hyperfiniteness of boundary actions

Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.
Abstract We study actions of (infinitely presented) graphical small cancellation groups on the Gromov boundaries of their coned‐off Cayley graphs. We show that a class of graphical small cancellation groups, including (infinitely presented) classical small cancellation groups, admit hyperfinite boundary actions, more precisely, the orbit equivalence ...
Chris Karpinski, Damian Osajda, Koichi Oyakawa   +2 more
wiley   +1 more source

Remarks on the arithmetic fundamental lemma

, 2017
W. Zhang's arithmetic fundamental lemma (AFL) is a conjectural identity between the derivative of an orbital integral on a symmetric space with an arithmetic intersection number on a unitary Rapoport-Zink space.
Li, Chao, Zhu, Yihang
core   +1 more source

Jordan Higher Bi- Homomorphism and Co- Jordan Higher Bi- Homomorphism on Banach Algebra

Baghdad Science Journal, 2021
The concepts of higher Bi- homomorphism and Jordan higher Bi- homomorphism have been introduced and studied the relation between Jordan and ordinary higher Bi- homomorphism also the concepts of Co- higher Bi- homomorphism and  Co- Jordan higher Bi- homomorphism introduced  and the relation between them in Banach algebra have also been studied.
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Fusion systems related to polynomial representations of SL2(q)$\operatorname{SL}_2(q)$

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract Let q$q$ be a power of a fixed prime p$p$. We classify up to isomorphism all simple saturated fusion systems on a certain class of p$p$‐groups constructed from the polynomial representations of SL2(q)$\operatorname{SL}_2(q)$, which includes the Sylow p$p$‐subgroups of GL3(q)$\mathrm{GL}_3(q)$ and Sp4(q)$\mathrm{Sp}_4(q)$ as special cases.
Valentina Grazian, Chris Parker, Jason Semeraro, Martin van Beek   +3 more
wiley   +1 more source

JORDAN HOMOMORPHISMS IN PROPER JCQ∗ -TRIPLES

Journal of Nonlinear Sciences and Applications, 2011
This paper is along a long line of research on the so-called \(JCQ^*\)-triples, arising as extensions of quasi *-algebras and related structures, originally introduced to deal rigorously with unbounded operators. In particular, the authors investigate the Jordan homomorphisms associated to a certain generalized Jensen functional equation.
Kaboli Gharetapeh, S., Talebi, S., Park, Choonkil, Eshaghi Gordji, Madjid   +3 more
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Dimer models and conformal structures

Communications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 340-446, February 2026.
Abstract Dimer models have been the focus of intense research efforts over the last years. Our paper grew out of an effort to develop new methods to study minimizers or the asymptotic height functions of general dimer models and the geometry of their frozen boundaries.
Kari Astala, Erik Duse, István Prause, Xiao Zhong   +3 more
wiley   +1 more source