TY - JOUR
ID - 64
TI - On a special class of Stanley-Reisner ideals
JO - Journal of Algebra and Related Topics
JA - JART
LA - en
SN - 2345-3931
AU - Borna, K.
AD - Kharazmi University
Y1 - 2014
PY - 2014
VL - 2
IS - 2
SP - 25
EP - 36
KW - Betti numbers
KW - Stanley
KW - graded Betti numbers
KW - Reisner ideal
KW - graded minimal free resolution
KW - Stanley-Reisner ideal
KW - simplicial complexes
DO -
N2 - For an $n$-gon with vertices at points $1,2,cdots,n$, the Betti numbers of its suspension, the simplicial complex that involves two more vertices $n+1$ and $n+2$, is known. In this paper, with a constructive and simple proof, wegeneralize this result to find the minimal free resolution and Betti numbers of the $S$-module $S/I$ where $S=K[x_{1},cdots, x_{n}]$ and $I$ is the associated ideal to the generalized suspension of it in the Stanley-Reisner sense. Applications to Stanley-Reisner ideals and simplicial complexes are considered.
UR - https://jart.guilan.ac.ir/article_64.html
L1 - https://jart.guilan.ac.ir/article_64_af0fbdf0775d6c6eb49e2f0160e18b3e.pdf
ER -