Corpus ID: 220265840

Systems of parameters and the Cohen--Macaulay property

@inproceedings{Herzog2020SystemsOP,
  title={Systems of parameters and the Cohen--Macaulay property},
  author={Jurgen Herzog and Somayeh Moradi},
  year={2020}
}
  • Jurgen Herzog, Somayeh Moradi
  • Published 2020
  • Mathematics
  • We recall a numerical criteria for Cohen–Macaulayness related to system of parameters, and introduce monomial ideals of König type which include the edge ideals of König graphs. We show that a monomial ideal is of König type if and only if its corresponding residue class ring admits a system of parameters whose elements are of the form xi−xj . This provides an algebraic characterization of König graphs. We use this special parameter systems for the study of the edge ideal of König graphs and… CONTINUE READING

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