Generalized Newton complementary duals of monomial ideals

Katie Ansaldi; Kuei Nuan Lin; Yi Huang Shen

doi:10.1142/S0219498821500213

Generalized Newton complementary duals of monomial ideals

Katie Ansaldi, Kuei Nuan Lin, Yi Huang Shen

Penn State Greater Allegheny

Research output: Contribution to journal › Article

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 language	English (US)
Article number	2150021
Journal	Journal of Algebra and its Applications
DOIs	https://doi.org/10.1142/S0219498821500213
Publication status	Accepted/In press - Jan 1 2019

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All Science Journal Classification (ASJC) codes

Algebra and Number Theory
Applied Mathematics

Cite this

Ansaldi, K., Lin, K. N., & Shen, Y. H. (Accepted/In press). Generalized Newton complementary duals of monomial ideals. Journal of Algebra and its Applications, [2150021]. https://doi.org/10.1142/S0219498821500213

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Access to Document

10.1142/S0219498821500213