Results 31 to 40 of about 11,887 (154)

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 ...
openaire   +1 more source

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

Hopf algebraic structure of the parabosonic and parafermionic algebras and paraparticle generalization of the Jordan Schwinger map

, 2000
The aim of this paper is to show that there is a Hopf structure of the parabosonic and parafermionic algebras and this Hopf structure can generate the well known Hopf algebraic structure of the Lie algebras, through a realization of Lie algebras using ...
Biswas S. N., C. Daskaloyannis, Ganchev A. Ch., Greenberg O. W., I. Tsohantjis, K. Kanakoglou, Kamefuchi S., Macfarlane A. J., Palev T. D., Palev T. D., Palev T. D., Palev T. D., Palev T. D., Paolucci A., Ryan C., Tsohantjis I.   +15 more
core   +1 more source

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

Universal Enveloping Algebras of Lie Antialgebras

, 2010
Lie antialgebras is a class of supercommutative algebras recently appeared in symplectic geometry. We define the notion of enveloping algebra of a Lie antialgebra and study its properties.
Leidwanger, Séverine, Morier-Genoud, Sophie   +1 more
core   +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

Abstract structure of partial function $*$-algebras over semi-direct product of locally compact groups [PDF]

Sahand Communications in Mathematical Analysis, 2015
This article presents a unified approach to the abstract notions of partial convolution and involution in $L^p$-function spaces over semi-direct product of locally compact groups.
Arash Ghaani Farashahi, Ali Kamyabi-Gol
doaj  

Fine gradings on simple exceptional Jordan pairs and triple systems

, 2017
We give a classification up to equivalence of the fine group gradings by abelian groups on the Jordan pairs and triple systems of types bi-Cayley and Albert, under the assumption that the base field is algebraically closed of characteristic different ...
Aranda-Orna, Diego
core   +1 more source

When is a bi-Jordan homomorphism bi-homomorphism? [PDF]

Kragujevac Journal of Mathematics, 2018
Summary: For Banach algebras \(\mathcal{A}\) and \(\mathcal{B}\), we show that, if \(\mathcal{U}=\mathcal{A}\times\mathcal{B}\) is commutative (weakly commutative), then each bi-Jordan homomorphism from \(\mathcal{U}\) into a semisimple commutative Banach algebra \(\mathcal{D}\) is a bi-homomorphism.
openaire   +2 more sources