Abstract
Suppose F is a functor on rings such that F(A)≅ F(A[T]). In the first section it is shown that F(A) ≅ F(A0) any graded ring A. Several examples of such functors are given of which the most important are the subgroup of the Brauer group consisting of elements of order prime to all of the residue characteristics of A and of commutative, separable A-algebras of rank relatively prime to the residue characteristics of A. In the second section the part the Brauer group and of the fundamental group of A[T,T-1] of order relatively prime to the residue characteristics is computed.
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© 1984 D. Reidel Publishing Company
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Hoobler, R.T. (1984). Functors of Graded Rings. In: van Oystaeyen, F. (eds) Methods in Ring Theory. NATO ASI Series, vol 129. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-6369-6_10
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DOI: https://doi.org/10.1007/978-94-009-6369-6_10
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