Artinian Local Rings Whose Annihilating-ideal Graphs Are Star Graphs

• 作者: Houyi Yu Tongsuo Wu Weiping Gu
• 来源期刊: 代数集刊:英文版
• 学科: 数学
• 关键词: 局部环 星图 理想 充分必要条件 毁灭
• 年，卷（期）: 2015,（1）
• 页码范围: 73-82
• 页数: 10页
• 分类号: O153.3
• 语种: 中文

摘要

In this paper, a necessary and sufficient condition is given for a commutative Artinian local ring whose annihilating-ideal graph is a star graph. Also, a complete char- acterization is established for a finite local ring whose annihilating-ideal graph is a star graph.