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Artinian Local Rings Whose Annihilating-ideal Graphs Are Star Graphs

Artinian Local Rings Whose Annihilating-ideal Graphs Are Star Graphs
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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. 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.
出处 《Algebra Colloquium》 SCIE CSCD 2015年第1期73-82,共10页 代数集刊(英文版)
基金 The first author is supported by Fundamental Research Funds for the Central Universi- ties (No. XDJK2013C060), Chongqing Research Program of Application Foundation and Advanced Technology (No. cstc2014jcyjA00028) and Scientific Research Foundation for Doctors of Southwest University (No. SWUl12054). The second author is supported by National Natural Science Foundation of China (No. 11271250).
关键词 Artinian rings local rings quotients of polynomial rings annihilating-ideals star graphs Artinian rings, local rings, quotients of polynomial rings, annihilating-ideals,star graphs
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