On the k-Buchsbaum property of powers of Stanley–Reisner ideals
Keyword(s):
AbstractLetS=K[x1,x2,…,xn] be a polynomial ring over a fieldK. Let Δ be a simplicial complex whose vertex set is contained in {1, 2,…,n}. For an integerk≥ 0, we investigate thek-Buchsbaum property of residue class ringsS/I(t); andS/Itfor the Stanley-Reisner idealI=IΔ. We characterize thek-Buchsbaumness of such rings in terms of the simplicial complex Δ and the powert. We also give a characterization in the case whereIis the edge ideal of a simple graph.
2014 ◽
Vol 213
◽
pp. 127-140
◽
Keyword(s):
Keyword(s):
2021 ◽
Vol 2021
◽
pp. 1-9
Keyword(s):
Keyword(s):
2020 ◽
Vol 12
(06)
◽
pp. 2050083
1999 ◽
Vol 19
(4)
◽
pp. 375-381
◽
Keyword(s):
2016 ◽
Vol 5
(2)
◽
pp. 132
Keyword(s):