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Specializations of Ferrers ideals

Producción científica: Articlerevisión exhaustiva

24 Citas (Scopus)

Resumen

We introduce a specialization technique in order to study monomial ideals that are generated in degree two by using our earlier results about Ferrers ideals. It allows us to describe explicitly a cellular minimal free resolution of various ideals including any strongly stable and any squarefree strongly stable ideal whose minimal generators have degree two. In particular, this shows that threshold graphs can be obtained as specializations of Ferrers graphs, which explains their similar properties.

Idioma originalEnglish
Páginas (desde-hasta)425-437
Número de páginas13
PublicaciónJournal of Algebraic Combinatorics
Volumen28
N.º3
DOI
EstadoPublished - nov 2008

Nota bibliográfica

Funding Information:
Acknowledgements The authors would like to thank Vic Reiner for inspiring discussions and the anonymous referees for their careful reading of the original manuscript. Uwe Nagel gratefully acknowledges partial support from the NSA under grant H98230-07-1-0065.

Financiación

Acknowledgements The authors would like to thank Vic Reiner for inspiring discussions and the anonymous referees for their careful reading of the original manuscript. Uwe Nagel gratefully acknowledges partial support from the NSA under grant H98230-07-1-0065.

FinanciadoresNúmero del financiador
National Security AgencyH98230-07-1-0065
National Security Agency

    ASJC Scopus subject areas

    • Algebra and Number Theory
    • Discrete Mathematics and Combinatorics

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