Abstract
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.
| Original language | English |
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| Pages (from-to) | 441-457 |
| Number of pages | 17 |
| Journal | Mathematica Scandinavica |
| Volume | 127 |
| Issue number | 3 |
| Publication status | Published - 2021 |