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A JORDAN ALGEBRA OF A MAL'TSEV ALGEBRA
- Source :
- Journal of Mathematical Sciences. January 4, 2023, Vol. 269 Issue 3, p298, 19 p.
- Publication Year :
- 2023
-
Abstract
- This paper is devoted to the generalization of the construction of a Jordan algebra of a Lie algebra and the known theorems on the local finite-dimensionality of Lie PI-algebras with an algebraic adjoint representation to Mal'tsev algebras.<br />Introduction Jordan algebras of Lie algebras are defined in [9] by analogy with local algebras of associative algebras and triple Jordan systems. In the paper their generalized version for Mal'tsev [...]
- Subjects :
- Algebra
Mathematics
Subjects
Details
- Language :
- English
- ISSN :
- 10723374
- Volume :
- 269
- Issue :
- 3
- Database :
- Gale General OneFile
- Journal :
- Journal of Mathematical Sciences
- Publication Type :
- Academic Journal
- Accession number :
- edsgcl.742001982
- Full Text :
- https://doi.org/10.1007/s10958-023-06282-8