Level algebras through Buchsbaum* manifolds

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2 Scopus citations


Stanley-Reisner rings of Buchsbaum* complexes are studied by means of their quotients modulo a linear system of parameters. The socle of these quotients is computed. Extending a recent result by Novik and Swartz for orientable homology manifolds without boundary, it is shown that modulo a part of their socle these quotients are level algebras. This provides new restrictions on the face vectors of Buchsbaum* complexes.

Original languageEnglish
Pages (from-to)187-196
Number of pages10
JournalCollectanea Mathematica
Issue number2
StatePublished - May 2011

Bibliographical note

Funding Information:
Part of the work for this paper was done while the author was sponsored by the National Security Agency under Grant Number H98230-09-1-0032.

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics


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