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A class of non-associative Nilpotent Jordan algebras.
- Source :
-
Journal of Algebra & Its Applications . Dec2020, Vol. 19 Issue 12, pN.PAG-N.PAG. 16p. - Publication Year :
- 2020
-
Abstract
- The paper is devoted to study nilpotent Jordan algebras 𝒥 satisfying that 𝒥 / Ann (𝒥) is non-associative. We show that such algebras exist iff dim 𝒥 ≥ 6 and dim (𝒥 / Ann (𝒥)) ≥ 5. Also we classify, up to isomorphism, all 6 -dimensional nilpotent Jordan algebras 𝒥 such that 𝒥 / Ann (𝒥) is non-associative, over an algebraically closed field 𝔽 of characteristic ≠ 2 , 3. [ABSTRACT FROM AUTHOR]
- Subjects :
- *JORDAN algebras
*AUTOMORPHISM groups
*ALGEBRA
Subjects
Details
- Language :
- English
- ISSN :
- 02194988
- Volume :
- 19
- Issue :
- 12
- Database :
- Academic Search Index
- Journal :
- Journal of Algebra & Its Applications
- Publication Type :
- Academic Journal
- Accession number :
- 146343584
- Full Text :
- https://doi.org/10.1142/S021949882150002X