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arxiv: 1702.02647 · v2 · pith:7DBT5I7Jnew · submitted 2017-02-08 · 🧮 math.RA

On degenerations of algebras over an arbitrary field

classification 🧮 math.RA
keywords algebrasarbitrarydimensionalfieldabelianalgebraclassifydegeneration
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For each $n\ge2$ we classify all $n$-dimensional algebras over an arbitrary infinite field which have the property that the $n$-dimensional abelian Lie algebra is their only proper degeneration.

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