The Prime Spectrum and the Extended Prime Spectrum of Noncommutative Rings
by Klep, Igor; Tressl, Marcus
We investigate the prime spectrum of a noncommutative ring and its spectral closure, the extended prime spectrum. We construct a ring for which the prime spectrum is a spectral space different from the extended prime spectrum and we construct a von Neumann regular ring for which the prime spectrum is not a spectral space.
DOI: 10.1007/s10468-006-9009-2
Online Date: 9/20/2006
Print publication date: 6/1/2007
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