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Outer fractions in quadratic Jordan algebras
- Source :
-
Journal of Algebra . Jun2007, Vol. 312 Issue 1, p56-73. 18p. - Publication Year :
- 2007
-
Abstract
- Abstract: Using new techniques of Zelmanov, C. Martinez improved on work of Jacobson, McCrimmon, and Parvathi to give a necessary and sufficient Ore-type condition for an arbitrary linear Jordan algebra (with no 2- or 3-torsion) to have an algebra of fractions. In this paper we extend to quadratic algebras the concept of algebras of outer fractions with respect to an Ore monad, and describe necessary and sufficient Ore-type conditions for the embedding in such an algebra of fractions. The details of the actual embedding will appear in a subsequent paper. [Copyright &y& Elsevier]
- Subjects :
- *JORDAN algebras
*UNIVERSAL enveloping algebras
*ALGEBRA
*MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 00218693
- Volume :
- 312
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 24861249
- Full Text :
- https://doi.org/10.1016/j.jalgebra.2007.01.016