Buchsbaum Stanley-Reisner rings with minimal multiplicity |
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| Authors: | Naoki Terai Ken-ichi Yoshida |
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| Affiliation: | Department of Mathematics, Faculty of Culture and Education, Saga University, Saga 840--8502, Japan ; Graduate School of Mathematics, Nagoya University, Nagoya 464--8602, Japan |
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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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| Keywords: | Stanley--Reisner ring Buchsbaum ring regularity linear resolution Alexander duality minimal multiplicity |
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