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Buchsbaum Stanley-Reisner rings with minimal multiplicity
Authors:
Naoki Terai and Ken-ichi Yoshida
Journal:
Proc. Amer. Math. Soc. 134 (2006), 55-65
MSC (2000):
Primary 13F55; Secondary 13D02
Posted:
August 15, 2005
MathSciNet review:
2170543
Full-text PDF Free Access
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Abstract: In this paper, we study Buchsbaum Stanley-Reisner rings with linear free resolution. We introduce the notion of Buchsbaum Stanley-Reisner rings with minimal multiplicity of initial degree  , which extends the notion of Buchsbaum rings with minimal multiplicity defined by Goto. As an application, we give many examples of non-Cohen-Macaulay Buchsbaum Stanley-Reisner rings with linear resolution.
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Additional Information
Naoki Terai
Affiliation:
Department of Mathematics, Faculty of Culture and Education, Saga University, Saga 840--8502, Japan
Email:
terai@cc.saga-u.ac.jp
Ken-ichi Yoshida
Affiliation:
Graduate School of Mathematics, Nagoya University, Nagoya 464--8602, Japan
Email:
yoshida@math.nagoya-u.ac.jp
DOI:
http://dx.doi.org/10.1090/S0002-9939-05-08176-1
PII:
S 0002-9939(05)08176-1
Keywords:
Stanley--Reisner ring,
Buchsbaum ring,
regularity,
linear resolution,
Alexander duality,
minimal multiplicity
Received by editor(s):
August 28, 2004
Posted:
August 15, 2005
Communicated by:
Bernd Ulrich
Article copyright:
© Copyright 2005 American Mathematical Society
The copyright for this article reverts to public domain after
28 years from publication.
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