TY - JOUR
AU - Al-Ayyoub, Ibrahim
AU - Nasernejad, Mehrdad
AU - Khashyarmanesh, Kazem
AU - Roberts, Leslie G.
AU - QuiĆ±onez, Veronica Crispin
PY - 2021/11/30
Y2 - 2022/01/23
TI - Results on the normality of square-free monomial ideals and cover ideals under some graph operations
JF - MATHEMATICA SCANDINAVICA
JA - Math. Scand.
VL - 127
IS - 3
SE - Articles
DO - 10.7146/math.scand.a-128963
UR - https://www.mscand.dk/article/view/128963
SP -
AB - <p>In this paper, we introduce techniques for producing normal square-free monomial ideals from old such ideals. These techniques are then used to investigate the normality of cover ideals under some graph operations. Square-free monomial ideals that come out as linear combinations of two normal ideals are shown to be not necessarily normal; under such a case we investigate the integral closedness of all powers of these ideals.</p>
ER -