Generalized Newton complementary duals of monomial ideals

Katie Ansaldi, Kuei Nuan Lin, Yi Huang Shen

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Abstract

Given a monomial ideal in a polynomial ring over a field, we define the generalized Newton complementary dual of the given ideal. We show good properties of such duals including linear quotients and isomorphism between the special fiber rings. We construct the cellular free resolutions of duals of strongly stable ideals generated in the same degree. When the base ideal is generated in degree two, we provide an explicit description of cellular free resolution of the dual of a compatible generalized stable ideal.

Original languageEnglish (US)
Article number2150021
JournalJournal of Algebra and its Applications
DOIs
Publication statusAccepted/In press - Jan 1 2019

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All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory
  • Applied Mathematics

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