Results 151 to 160 of about 946 (186)

Jacobi–Jordan-admissible algebras and pre-Jacobi–Jordan algebras

Journal of Algebra and Its Applications
The main purpose of this paper is to study Jacobi–Jordan-admissible algebras and some particular classes like pre-Jacobi–Jordan algebras. First, we provide characterizations of Jacobi–Jordan algebras by means of oxidation process. Then, we discuss Jacobi–Jordan-admissible algebras for which we obtain a surprising characterization as 3-power anti ...
Amir Baklouti, Saïd Benayadi, Abdenacer Makhlouf, Saber Mansour   +3 more
openaire   +1 more source

Malcev–Poisson–Jordan algebras

Journal of Algebra and Its Applications, 2016
Malcev–Poisson–Jordan algebra (MPJ-algebra) is defined to be a vector space endowed with a Malcev bracket and a Jordan structure which are satisfying the Leibniz rule. We describe such algebras in terms of a single bilinear operation, this class strictly contains alternative algebras. For a given Malcev algebra [Formula: see text], it is interesting to
Ait Ben Haddou, Malika, Benayadi, Saïd, Boulmane, Said   +2 more
openaire   +2 more sources

Ternary Hom-Jordan algebras induced by Hom-Jordan algebras

Linear and Multilinear Algebra, 2020
The purpose of this paper is to study the relationships between a Hom-Jordan algebras and its induced ternary Hom-Jordan algebras.
Arfa, Anja, Abdelkader Ben Hassine, Mabrouk, Sami   +2 more
openaire   +1 more source

INTEGRATION ON JORDAN ALGEBRAS

Mathematics of the USSR-Izvestiya, 1984
See the review in Zbl 0516.46044.
openaire   +3 more sources

Lie Type Jordan Algebras

Siberian Advances in Mathematics, 2019
Summary: We study the variety \(\mathcal{V}_J\) of Jordan algebras defined by the identities \(x^2yx\equiv 0\) and \((x_1y_1)(x_2y_2)(x_3y_3)\equiv 0\). We suggest a method for constructing an algebra in \(\mathcal{V}_J\) from an arbitrary Lie superalgebra. For certain subvarieties, we completely describe their identities and sequences of cocharacters.
openaire   +1 more source

Ordered Jordan Algebras

American Journal of Mathematics, 1978
openaire   +1 more source

Jordan division algebras

Algebra and Logic, 1979
openaire   +3 more sources

Jordan Algebras Versus C*- Algebras

1976
In the more abstract setting for quantum statistical mechanics and quantum field theory C* -algebras have become quite popular. They are useful for explaining several phenomena, and the mathematics is well developed, so the popularity is very natural. However, if one looks at them from a more axiomatic point of view their use is not so clear.
openaire   +1 more source

Hermitian Jordan Banach Algebras

Journal of the London Mathematical Society, 1979
openaire   +2 more sources

Banach Jordan ^* -Algebras

Proceedings of the London Mathematical Society, 1980
Putter, P. S., Yood, Bertram
openaire   +1 more source