Rees decomposition
In commutative algebra, a Rees decomposition is a way of writing a ring in terms of polynomial subrings. They were introduced by.Definition
Suppose that a ring R is a quotient of a polynomial ring k over a field by some homogeneous ideal. A Rees decomposition of R is a representation of R as a direct sum
where each ηα is a homogeneous element and the d elements θi are a homogeneous system of parameters for R and
ηαk ⊆ k.
