Chordal and perfect zero-divisor graphs of posets and applications to graphs associated with algebraic structures
N Khandekar, V Joshi - Mathematica Slovaca, 2023 - degruyter.com
Mathematica Slovaca, 2023•degruyter.com
In this paper, we characterize the perfect zero-divisor graphs and chordal zero-divisor
graphs (its complement) of ordered sets. These results are applied to the zero-divisor graphs
of finite reduced rings, the comaximal ideal graphs of rings, the annihilating ideal graphs of
rings, the intersection graphs of ideals of rings, and the intersection graphs of subgroups of
groups. In fact, it is shown that these graphs associated with a commutative ring R with
identity can be effectively studied via the zero-divisor graph of a specially constructed poset …
graphs (its complement) of ordered sets. These results are applied to the zero-divisor graphs
of finite reduced rings, the comaximal ideal graphs of rings, the annihilating ideal graphs of
rings, the intersection graphs of ideals of rings, and the intersection graphs of subgroups of
groups. In fact, it is shown that these graphs associated with a commutative ring R with
identity can be effectively studied via the zero-divisor graph of a specially constructed poset …
Abstract
In this paper, we characterize the perfect zero-divisor graphs and chordal zero-divisor graphs (its complement) of ordered sets. These results are applied to the zero-divisor graphs of finite reduced rings, the comaximal ideal graphs of rings, the annihilating ideal graphs of rings, the intersection graphs of ideals of rings, and the intersection graphs of subgroups of groups. In fact, it is shown that these graphs associated with a commutative ring R with identity can be effectively studied via the zero-divisor graph of a specially constructed poset from R.
De Gruyter以上显示的是最相近的搜索结果。 查看全部搜索结果