Jiawen Shan

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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.AC2024

On the Rees algebras of $t$ -path ideals of cycles

Oleksandra Gasanova, Jürgen Herzog, Jiawen Shan

In this paper we explore certain properties of the Rees algebra of $I_{t} (C_{n})$ , the $t$ -path ideal of an $n$ -cycle. Our main focus is on the cases when such ideals are of fiber type…

Further results on monomial ideals of projective dimension one

On the Rees algebras of t-path ideals of cycles

On the Rees algebras of $t$ -path ideals of cycles