EXISTENCE OF 2-EXCEPTIONAL BERNSTEIN ALGEBRAS
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Abstract
Given a Bernstein algebra A = F e ⊕ U ⊕ V , the two ordered pairs
respectively, the type and the subtype of A. In this paper we de-
termine the minimum and the maximum dimension of the subspace
in 2-exceptional Bernstein algebras (those satisfying U(UV ) ̸= 0 and U((UV)V) = 0) and we introduce an algorithm to construct 2- exceptional Bernstein algebras for some types and subtypes.
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