On reflexive and $I$-Ulrich modules over curve singularities

Abstract

We study reflexive modules over one dimensional Cohen-Macaulay rings. Our key technique exploits the concept of $I$-Ulrich modules.

arXiv commentFinal Version, to appear in the Transactions of the AMS

References in corpus (5)

• A formula for the core of an ideal
• Partial Trace Ideals And Berger's Conjecture
• Syzygies of Cohen-Macaulay modules over one dimensional Cohen-Macaulay local rings
• Gorenstein dimension of modules
• Trace of canonical modules, annihilator of Ext, and classes of rings close to being Gorenstein

Cited by in corpus (1)

• Reflexive modules, self-dual modules and Arf rings