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Summa ry. - A matl'ix teahnique is given whiah enabZes to study .1na
identities in ool'ieties of assoaiative and non associative aZgebl'as. We appZy this teahnique in the aZassifiaation o[ the aZass o[ 2-ool'ieties aontaining a non aommutative aZgebra with identity.
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