When Min(A)-1 is Hausdorff

Papiya Bhattacharjee, Warren Wm McGovern

Research output: Contribution to journalArticle

4 Scopus citations

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 languageEnglish (US)
Pages (from-to)99-108
Number of pages10
JournalCommunications in Algebra
Volume41
Issue number1
DOIs
StatePublished - Jan 1 2013

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

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    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