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math.AC2024
Lim Cohen-Macaulay sequences of modules
Bhargav Bhatt, Mel Hochster, Linquan Ma
We introduce the notion of a lim Cohen-Macaulay sequence of modules. We prove the existence of such sequences in positive characteristic, and show that their existence in mixed cha…
math.AC2024
Non-existence of Ulrich modules over Cohen-Macaulay local rings
Srikanth B. Iyengar, Linquan Ma, Mark E. Walker +1
Over a Cohen-Macaulay local ring, the minimal number of generators of a maximal Cohen-Macaulay module is bounded above by its multiplicity. In 1984 Ulrich asked whether there alway…