The Structure of Finite Local Principal Ideal Rings

The Structure of Finite Local Principal Ideal Rings
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DOI:
10.1080/00927872.2011.618860
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发表时间:
2011-05
影响因子:
0.7
通讯作者:
Tongsuo Wu;Houyi Yu;D. Lu
Tongsuo Wu;Houyi Yu;D. Lu
中科院分区:
数学3区
文献类型:
--
作者:
Tongsuo Wu;Houyi Yu;D. Lu

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A ring R is called a principal ideal ring (PIR), if each ideal of R is a principal ideal. A local ring (R, 𝔪) is an artinian PIR if and only if its maximal ideal 𝔪 is principal and has finite nilpotency index. In this article, we determine the structure of a finite local PIR.