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 › peer-review

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
State	Accepted/In press - Jan 1 2019

All Science Journal Classification (ASJC) codes

Algebra and Number Theory
Applied Mathematics

Access to Document

10.1142/S0219498821500213

Fingerprint Dive into the research topics of 'Generalized Newton complementary duals of monomial ideals'. Together they form a unique fingerprint.

Cite this

@article{e53b1d75ca4c440db1968b9a01f2cc13,

title = "Generalized Newton complementary duals of monomial ideals",

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.",

author = "Katie Ansaldi and Lin, {Kuei Nuan} and Shen, {Yi Huang}",

year = "2019",

month = jan,

day = "1",

doi = "10.1142/S0219498821500213",

language = "English (US)",

journal = "Journal of Algebra and Its Applications",

issn = "0219-4988",

publisher = "World Scientific Publishing Co. Pte Ltd",

}

TY - JOUR

T1 - Generalized Newton complementary duals of monomial ideals

AU - Ansaldi, Katie

AU - Lin, Kuei Nuan

AU - Shen, Yi Huang

PY - 2019/1/1

Y1 - 2019/1/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85077870202&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85077870202&partnerID=8YFLogxK

U2 - 10.1142/S0219498821500213

DO - 10.1142/S0219498821500213

M3 - Article

AN - SCOPUS:85077870202

JO - Journal of Algebra and Its Applications

JF - Journal of Algebra and Its Applications

SN - 0219-4988

M1 - 2150021

ER -