Magic labelings of graphs, symmetric magic squares, systems of parameters, and Cohen-Macaulay rings

@article{Stanley1976MagicLO,
  title={Magic labelings of graphs, symmetric magic squares, systems of parameters, and Cohen-Macaulay rings},
  author={Richard P. Stanley},
  journal={Duke Mathematical Journal},
  year={1976},
  volume={43},
  pages={511-531}
}
  • R. Stanley
  • Published 1 September 1976
  • Mathematics
  • Duke Mathematical Journal
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0. Introduction. Let R be a commutative Noetherian ring with identity and let I be a proper ideal of R. A classical result of Krull is that if I can be generated by r elements then the rank or
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