The structure of finite local principal ideal rings

Details The structure of finite local principal ideal rings The structure of finite local principal ideal rings

2011-05-26

arxiv.org/abs/1105.5179v3

Mathematics

Commutative Algebra

12 pages, one figure

Scientific paper

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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