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We define polynomial -identities for comodule algebras over a Hopf algebra and establish general properties for the corresponding -ideals. In the case is a Taft algebra or the Hopf algebra , we exhibit a finite set of polynomial -identities which distinguish the Galois objects over up to isomorphism.
Partially supported by grant RFFI 98-01-01020.Let Uc be the variety of associative algebras generated by the
algebra of all upper triangular matrices, the field being arbitrary. We prove
that the upper exponent of any subvariety V ⊂ Uc coincides with the lower
exponent and is an integer.
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