학술논문

Cohen-Macaulay test ideals over rings of finite and countable Cohen-Macaulay type
Document Type
Working Paper
Source
Subject
Mathematics - Commutative Algebra
13C14 (Primary) 13H10, 13P99, 13F70 (Secondary)
Language
Abstract
The third named author and P\'{e}rez proved that under certain conditions the test ideal of a module closure agrees with the trace ideal of the module closure. We use this fact to compute the test ideals of various rings with respect to the closures coming from their indecomposable maximal Cohen-Macaulay modules. We also give an easier way to compute the test ideal of a hypersurface ring in 3 variables coming from a module with a particular type of matrix factorization.
Comment: 18 pages, to appear in Involve, comments welcome