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Non-existence of Ulrich modules over Cohen-Macaulay local rings

open access: yes
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 always exist modules for which equality holds; such modules are known nowadays ...
Walker, Mark E.   +3 more
core  

HOMOLOGICAL DIMENSION IN NOETHERIAN RINGS. [PDF]

open access: yesProc Natl Acad Sci U S A, 1956
Auslander M, Buchsbaum DA.
europepmc   +1 more source

Some isometric embedding and rigidity results for Riemannian manifolds. [PDF]

open access: yesProc Natl Acad Sci U S A, 1981
Berger E, Bryant R, Griffiths P.
europepmc   +1 more source

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