Relaciones entre los grupos de brauer de anillos conmutativos y ciertos anillos cocientes

Let S be a commutative R-algebra, R a commutative ring, then the application of R-algebras At → A ⨂RS induces a homomorphism Br(R) → Br(S) between the Brauer groups of R and S, respectively. It is known that the homomorphism Br(R) →Br(R/m) is an isomorphism when R is a complete local ring with maxim...