Classification of nilpotent associative algebras of small dimension
classification
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algebrasnilpotentassociativedimensionanalogouscentralclassificationclassify
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We classify nilpotent associative algebras of dimensions up to 4 over any field. This is done by constructing the nilpotent associative algebras as central extensions of algebras of smaller dimension, analogous to methods known for nilpotent Lie algebras.
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