This chapter is devoted to theory of cancellative Mori monoids. We present multiplicative counterparts of the ideal theory and of the structure of the complete integral closure, in particular in the seminormal case.

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Arithmetic of Cancellative Mori Monoids

  • Franz Halter-Koch,
  • Alfred Geroldinger,
  • Andreas Reinhart

摘要

This chapter is devoted to theory of cancellative Mori monoids. We present multiplicative counterparts of the ideal theory and of the structure of the complete integral closure, in particular in the seminormal case.