Abstract
In this paper the notion of quasiisomorphism of Bernstein algebras is introduced and studied. The aim of the paper is to get a classification of Bernstein algebras more general than the given by isomorphisms. In the last part of the paper the classification, up to quasiisomorphisms, of Bernstein algebras of dimensions 3 and 4 is given and compared with the corresponding classification up to isomorphism.
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