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4 papers · 1 filter
Constructing Big Indecomposable modules
Andrew Crabbe, Janet Striuli
Let be local Noetherian ring of depth at least two. We prove that there are indecomposable -modules which are free on the punctured spectrum of constant, arbitrarily large,…
Asymptotic vanishing conditions which force regularity in local rings of prime characteristic
Ian Aberbach, Jinjia Li
Let $(R,\m,k)$ be a local (Noetherian) ring of positive prime characteristic and dimension . Let $G_\dt$ be a minimal resolution of the residue field , and for each $i\ge…
Characterizations of Regular Local Rings in Positive Characteristics
Jinjia Li
In this note, we provide several characterizations of regular local rings in positive characteristics, in terms of the Hilbert-Kunz multiplicity and its higher $\tor$ counterparts…
Hypersurfaces of bounded Cohen--Macaulay type
Graham J. Leuschke, Roger Wiegand
Let R = k[[x_0,...,x_d]]/(f), where k is a field and f is a non-zero non-unit of the formal power series ring k[[x_0,...,x_d]]. We investigate the question of which rings of this f…