Algunas observaciones acerca de matrices triangulares sobre anillos
Testing flatness and computing rank of a module using syzygies
Using syzygies computed via Gröbner bases techniques, we present algorithms for testing some homological properties for submodules of the free module , where A = R[x₁,...,xₙ] and R is a Noetherian commutative ring. We will test if a given submodule M of is flat. We will also check if M is locally free of constant dimension. Moreover, we present an algorithm that computes the rank of a flat submodule M of and also an algorithm that computes the projective dimension of an arbitrary submodule...
Primary decomposition of modules over Dedekind domains using Gröbner bases.
Preservation of the properties of the polynomial ring of the power series ring in the class of finite conductor rings.
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