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 introduce the notion of Burch submodules and weakly m-full submodules of modules
over a local ring (R, m) and study their properties. One of our main results shows that Burch …

Let R be a commutative noetherian ring. Denote by mod\, R mod R the category of finitely
generated R-modules. In this paper, we study n-torsionfree modules in the sense of …

We analyze whether Ulrich modules, not necessarily maximal CM (Cohen-Macaulay), can
be used as test modules, which detect finite homological dimensions of modules. We prove …

In this paper we study homological dimensions of finitely generated modules over
commutative Noetherian local rings, called reducing homological dimensions. We obtain …

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 Cohen–Macaulay type of idealizations of maximal Cohen–Macaulay modules over
Cohen–Macaulay local rings is closely explored. There are two extremal cases, one of …

We study a modified version of the classical Ulrich modules, which we call $ c $-Ulrich.
Unlike the traditional setting, $ c $-Ulrich modules always exist. We prove that these …

We address the problem of when the tensor product of two finitely generated modules over a
Cohen-Macaulay local ring is Ulrich in the generalized sense of Goto et al., and in particular …

We further develop the theory of generalized Ulrich modules introduced in 2014 by Goto et
al. Our main goal is to address the problem as to when the operations of taking the Hom …