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 …

In this paper we study Ulrich ideals of and Ulrich modules over Cohen--Macaulay local rings
from various points of view. We determine the structure of minimal free resolutions of Ulrich …

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 …

The structure of the complex $\mathrm {\textbf {R} Hom} _R (R/I, R) $ is explored for an
Ulrich ideal $ I $ in a Cohen–Macaulay local ring $ R $. As a consequence, it is proved that …

Let R be a Cohen–Macaulay local ring. In this paper, we study the structure of Ulrich R-
modules mainly in the case where R has minimal multiplicity. We explore generation of …

For a local ring $(R,\M) $ of infinite residue field and positive depth, we address the question
raised by H. Dao on how to control the asymptotic behaviour of the $\M $-full, full, and …

A local Cohen--Macaulay ring is called Ulrich-split if any short exact sequence of Ulrich
modules split. In this paper we initiate the study of Ulrich split rings. We prove several …

The notion of 2-almost Gorenstein local ring (2-AGL ring for short) is a generalization of the
notion of almost Gorenstein local ring from the point of view of Sally modules of canonical …

Abstract The Auslander-Reiten conjecture is a notorious open problem about the vanishing
of Ext modules. In a Cohen-Macaulay complete local ring R with a parameter ideal Q, the …

This paper studies Ulrich ideals in one-dimensional Cohen-Macaulay local rings. A
correspondence between Ulrich ideals and overrings is given. Using the correspondence …