Jiawen Shan

collaborators

3 papers

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.RA2026

Rota-Baxter operators on $I ¨ $ -Lie algebras

Yin Chen, Shan Ren, Jiawen Shan +1

This article explores Rota-Baxter operators on finite-dimensional $I ¨ $ -Lie algebras over a field of characteristic not 2. We provide several methods for constructing left-symmetric…

math.AC2024

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

Oleksandra Gasanova, JÃ¼rgen 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

Rota-Baxter operators on I¨-Lie algebras

On the Rees algebras of t-path ideals of cycles

Rota-Baxter operators on $I ¨ $ -Lie algebras

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