The structure of finite local principal ideal rings
classification
🧮 math.AC
math.RA
keywords
idealfinitelocalprincipalringstructureartiniancalled
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A ring $R$ is called a PIR, if each ideal of $R$ 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 finite nilpotency index. In this paper, we determine the structure of a finite local PIR.
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