Algebra.PLM
Description
Specification of principal localization matrices used in the coherence proof of Prufer domains.
- propPLM :: (CommutativeRing a, Eq a) => Ideal a -> Matrix a -> Bool
- computePLM_B :: (BezoutDomain a, Eq a) => Ideal a -> Matrix a
Documentation
propPLM :: (CommutativeRing a, Eq a) => Ideal a -> Matrix a -> BoolSource
A principal localization matrix for an ideal (x1,...,xn) is a matrix such that:
- The sum of the diagonal should equal 1.
- For all i, j, l in {1..n}: a_lj * x_i = a_li * x_j
computePLM_B :: (BezoutDomain a, Eq a) => Ideal a -> Matrix aSource
Principal localization matrices for ideals are computable in Bezout domains.