### Abstract

For a commutative ring with identity, say A, its collection of minimal prime ideals is denoted by Min(A). The hull-kernel topology on Min(A) is a well-studied structure. For example, it is known that the hull-kernel topology on Min(A) has a base of clopen subsets, and classifications of when Min(A) is compact abound. Recently, a program of studying the inverse topology on Min(A) has begun. This article adds to the growing literature. In particular, we characterize when Min(A)^{-1} is Hausdorff. In the final section, we consider rings of continuous functions and supply examples.

Original language | English (US) |
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Pages (from-to) | 99-108 |

Number of pages | 10 |

Journal | Communications in Algebra |

Volume | 41 |

Issue number | 1 |

DOIs | |

State | Published - Jan 1 2013 |

### All Science Journal Classification (ASJC) codes

- Algebra and Number Theory

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## Cite this

Bhattacharjee, P., & McGovern, W. W. (2013). When Min(A)

^{-1}is Hausdorff.*Communications in Algebra*,*41*(1), 99-108. https://doi.org/10.1080/00927872.2011.617228