The Brauer group of polynomial rings

Frank Rimi DeMeyer

Vol. 59 (1975), No. 2, 391–398

DOI: 10.2140/pjm.1975.59.391

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