The main aim of this paper is to classify Ulrich ideals and Ulrich modules over two-
dimensional Gorenstein rational singularities (rational double points) from a geometric point …

In this paper, we introduce the notion of p_ g pg-ideals and p_ g pg-cycles, which inherits
nice properties of integrally closed ideals on rational singularities. As an application, we …

Hilbert–Kunz multiplicity is known to be a very mysterious invariant of a ring or an ideal. We
will show a very beautiful formula on Hilbert–Kunz multiplicity for integrally closed ideals in …

In this paper we consider the problem of explicitly finding canonical ideals of one-
dimensional Cohen–Macaulay local rings. We show that Gorenstein ideals contained in a …

The notion of p g-ideals for normal surface singularities has been proved to be very useful.
On the other hand, the core of ideals has been proved to be very important concept and also …

In [HU], Huneke and Ulrich defined a class of non-trivial deviation two Gorenstein ideals,
which were the first large class of such ideals to be defined. These ideals were subsequently …

On reflexive and 𝐼-Ulrich modules over curve singularities Main Article Contents Mathematics
References Article Info Settings On reflexive and -Ulrich modules over curve singularities By …

We further the classification of rational surface singularities. Suppose $(S,\mathfrak
{n},\mathcal {k}) $ is a strictly Henselian regular local ring of mixed characteristic $(0, p> 5) …

Let p be the unique singularity of a normal two-dimensional Stein space V. Let m be the
maximal ideal in $ _V {\mathcal {O} _p} $, the local ring of germs of holomorphic functions at …

We introduce the the normal reduction number of two-dimensional normal singularities and
prove that elliptic singularity has normal reduction number two. We also prove that for a two …