Abstract
Let (B,ω) be a Bernstein algebra over a field of zero characteristic andB=eF+̇Ue+̇Zea Peirce decomposition. Regular algebras (that is Bernstein algebras in whichUeZe=Z2e=0) and exclusive algebras (U2e=0) satisfyingUeZe=0 will be considered. Generators of the ideal of polynomial identities for these two classes of Bernstein algebras will be given.
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