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math.AC2023
The resolutions of generalized co-letterplace ideals and their powers
Dancheng Lu, Zexin Wang
We present a natural and explicit multigraded minimal free resolution for each generalized co-letterplace ideal (see Definition 1.1). Our resolution differs significantly from the…
math.AC2023
The edge rings of compact graphs
Zexin Wang, Dancheng Lu
We define a simple graph as compact if it lacks even cycles and satisfies the odd-cycle condition. Our focus is on classifying all compact graphs and examining the characteristics…
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.