5 papers · 1 filter
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…
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.
Frobenius Categories over a Triangular Matrix Ring and Comma Categories
Dancheng Lu, Panpan Xie
We introduce the dual notions of and , and investigate when they have enough injective objects or p…
Finite lattices and Koszul Filtrations
Dancheng Lu, Ke Zhang
We characterize when a finite lattice is distributive by the existences of some particular classes of Koszul filtrations.
Partial regularities and -invariants of Borel type ideals
Dancheng Lu, Lizhong Chu
We express the Partial regularities and -invariants of a Borel type ideal in terms of its irredundant irreducible decomposition. In addition we consider the behaviours of thos…