26 citations · 44 across the 14 of their papers we have counts for
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Classification of monomial Rota-Baxter operators on k[x]
Houyi Yu
Rota-Baxter operators were introduced to solve certain analytic and combinatorial problems and then applied to many fields in mathematics and mathematical physics. The polynomial a…
On monomial ideals whose Lyubeznik resolution is minimal
Jin Guo, Tongsuo Wu, Houyi Yu
For a monomial ideal , let be its minimal set of monomial generators. If there is a total order on such that the corresponding Lyubeznik resolution of is a min…
The structure of finite local principal ideal rings
Tongsuo Wu, Houyi Yu, Dancheng Lu
A ring is called a PIR, if each ideal of is a principal ideal. An local ring $(R,\mf{m)}$ is a artinian PIR if and only if its maximal ideal $\mf{m}$ is principal and has f…
On graphs related to co-maximal ideals of a commutative ring
Tongsuo Wu, Meng Ye, Dancheng Lu +1
This paper studies the co-maximal graph $\Om(R)$, the induced subgraph $\G(R)$ of $\Om(R)$ whose vertex set is and a retract $\G_r(R)$ of $\G(R)$, wher…