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math.AC2023
Monomial ideals with regular quotients and some edge rings
Dancheng Lu, Hao Zhou
We introduce and study monomial ideals with regular quotients, which can be seen as an extension of monomial ideals with linear quotients. Based on these investigations, we are abl…
math.AC2023
Correction to: Powers of the vertex cover ideals (Collect. Math. 65 (2014) 169--181)
Dancheng Lu, Zexin Wang
We point out an essential gap in the proof of one of main results in \cite{M} and then give a corrected proof for it.
math.AC2023
Regularity of powers of path ideals of line graphs
Jiawen Shan, Dancheng Lu
Let be a line graph with vertices and let be its -path ideal. It is shown that has a linear resolution for some (or equivalently for all )…