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A class of non-associative Nilpotent Jordan algebras

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The paper is devoted to study nilpotent Jordan algebras ???? satisfying that ????/Ann(???? ) is non-associative. We show that such algebras exist iff dim ???? ≥ 6 and dim(????/Ann(???? ))… Click to show full abstract

The paper is devoted to study nilpotent Jordan algebras ???? satisfying that ????/Ann(???? ) is non-associative. We show that such algebras exist iff dim ???? ≥ 6 and dim(????/Ann(???? )) ≥ 5. Also we classify, up t...

Keywords: class non; non associative; jordan algebras; nilpotent jordan; associative nilpotent

Journal Title: Journal of Algebra and Its Applications
Year Published: 2019

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