Vol. 59, No. 2, 1975

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The Brauer group of polynomial rings

Frank Rimi DeMeyer

Vol. 59 (1975), No. 2, 391–398
Abstract

Let R be a commutative ring and S a commutative R-algebra. The induced homomorphism B(R) B(S) of Brauer groups is studied for the following choices of S. First, S = R∕I where I is an ideal in the radical of R. Second, S = R[x] the ring of polynomials in one variable over R. Third, S = K the quotient field of R when R is a domain.

Mathematical Subject Classification
Primary: 13A20
Milestones
Received: 14 April 1975
Published: 1 August 1975
Authors
Frank Rimi DeMeyer