An example of Bergman's and the extension problem for clean rings
Resource
Communications in algebra 36 (4):1413-1418
Journal
Communications in Algebra
Journal Volume
36
Journal Issue
4
Pages
1413-1418
Date Issued
2008
Author(s)
Abstract
An example of Bergman is used to show that the extension of a clean ring by another clean ring need not be clean. That is, there exists a ring R and an ideal I of R such that both R/I and I are clean and idempotents lift modulo I, but R is not clean.
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Type
journal article
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