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math.AC2026
Further results on monomial ideals of projective dimension one
Dancheng Lu, Jiawen Shan, Yu Wang
We prove that a monomial ideal has projective dimension one if and only if its minimal monomial generators can be ordered so that each successive colon ideal is principal, and show…
math.AC2026
Depth of powers of the edge ideal of an increasing weighted path
Jiaxin Li, Dancheng Lu, Thanh Vu +1
We provide exact formulas for the depth of the quotient ring of powers of the edge ideal of an increasing weighted path.