On the Polynomial Ring over a Mori Domain
On the biggest maximaly generated ideal as the conductor in the blowing up ring.
Maximality properties for one-dimensional analytically irreducible local Gorenstein and Kunz rings.
Irreducibility of ideals in a one-dimensional analytically irreducible ring
Let be a one-dimensional analytically irreducible ring and let be an integral ideal of . We study the relation between the irreducibility of the ideal in and the irreducibility of the corresponding semigroup ideal . It turns out that if is irreducible, then is irreducible, but the converse does not hold in general. We collect some known results taken from [], [], [] to obtain this result, which is new. We finally give an algorithm to compute the components of an irredundant decomposition...
The Apery algorithm for a plane singularity with two branches.
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