A Mori-Nagata type theorem for seminormal Mori lattices

• Autores: David E. Rush, James S. Okon, Laura J. Wallace
• Localización: Houston journal of mathematics, ISSN 0362-1588, Vol. 33, Nº 1, 2007, págs. 83-102
• Idioma: inglés
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• Resumen

  • It is shown that the complete integral closure of a seminormal Mori lattice is a Krull lattice. This extends a result of V. Barucci to multiplicative lattices. New results on rings are obtained by specializing to the case that the lattice is the set of homogeneous ideals of an M-graded ring where M is an abelian cancellative torsion-free monoid.