The Buchsbaum property of symbolic powers of Stanley-Reisner ideals of dimension 1 |
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| Authors: | Nguyen Cong Minh Yukio Nakamura |
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| Institution: | a Department of Mathematics, Hanoi National University of Education, 136 Xuân Thuy, Hanoi, Viet Nam
b Department of Mathematics, School of Science and Technology, Meiji University, 214-8571, Japan |
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| Abstract: | Let S be a polynomial ring and I be the Stanley-Reisner ideal of a simplicial complex Δ. The purpose of this paper is investigating the Buchsbaum property of S/I(r) when Δ is pure dimension 1. We shall characterize the Buchsbaumness of S/I(r) in terms of the graphical property of Δ. That is closely related to the characterization of the Cohen-Macaulayness of S/I(r) due to the first author and N.V. Trung. |
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| Keywords: | Primary 13D45 Secondary 05C90 05E99 |
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