Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6414976 | Journal of Algebra | 2011 | 15 Pages |
Abstract
Let S=k[x1,x2,â¦,xn] be a polynomial ring. Let I be a Stanley-Reisner ideal in S of a pure simplicial complex of dimension one. In this paper, we study the Buchsbaum property of S/Ir for any integer r>0. Our first purpose is giving a characterization of Ext-modules ExtSp(S/mt,S/J) for any monomial ideal J, where mt=(x1t,x2t,â¦,xnt), in terms of certain simplicial complexes. Then we consider the Buchsbaum property of S/Ir. The main tool to check the Buchsbaumness is the surjectivity criterion. We see the behavior of the canonical map from ExtSp(S/mt,S/Ir) to Hmp(S/Ir) from the view point of reduced cohomology groups of simplicial complexes.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Nguyên Công Minh, Yukio Nakamura,