8 citations · 40 across the 23 of their papers we have counts for
4 papers · 1 filter
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 realizing zero-divisor graphs of po-semirings
Houyi Yu, Tongsuo Wu
In this paper, we determine bipartite graphs and complete graphs with horns, which are realizable as zero-divisor graphs of po-semirings. As applications, we classify commutative r…
On zero divisors and prime elements of po-semirings
Tongsuo Wu, Dancheng Lu, Yuanlin Li
A semiring is an algebraic structure similar to a ring, but without the requirement that each element must have an additive inverse. A po-semiring is a semiring equipped with a com…
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…