Universal Associative Envelopes of Nonassociative Triple Systems

DOI10.1080/00927872.2012.749409zbMath1343.17005arXiv1211.4243OpenAlexW1984667874MaRDI QIDQ5413997

Hader A. Elgendy

Publication date: 2 May 2014

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.4243

zbMATH Keywords

Gröbner basesrepresentation theorytriple systemsuniversal associative enveloping algebras

Mathematics Subject Classification ID

Ternary compositions (17A40)

Related Items (7)

Jordan quadruple systems ⋮ The universal associative envelope of the anti-Jordan triple system of \(n\times n\) matrices ⋮ Special identities for comtrans algebras ⋮ The universal associative enveloping algebra of a Lie–Jordan algebra with a unit ⋮ Representations of simple anti-Jordan triple systems of m × n matrices ⋮ Symmetry of Lie algebras associated with (ε, δ)-Freudenthal-Kantor triple system ⋮ On the universal envelope of a Jordan triple system of n × n matrices

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The diamond lemma for ring theory
• Down-up algebras
• Centers of down-up algebras
• Basic properties of generalized down-up algebras.
• Minimal affinizations of representations of quantum groups: The rank 2 case
• How to compute the Wedderburn decomposition of a finite-dimensional associative algebra
• Universal Associative Envelopes of (n+ 1)-Dimensionaln-Lie Algebras
• On the Representation Theory of Lie Triple Systems
• Classification of Trilinear Operations

This page was built for publication: Universal Associative Envelopes of Nonassociative Triple Systems