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