Journal article
What lifts?
Communications in Algebra, Vol.24(11), pp.3637-3640
01/01/1996
DOI: 10.1080/00927879608825775
Abstract
As is well known, idempotents in any ring R lift modulo any nil idea I. That is, if a ϵ R and (a 2 -a) ϵ I there is an i ϵ I with (a + i) 2 -- (a + i) = 0. An idempotent is a zero of the polynomial x 2 −x 2 , and a nil element satisfies x n for some n. Seen this way, lifting occurs in considerable generality We assume R has a unit, and handle the non-unital case at the end of this paper.
Details
- Title: Subtitle
- What lifts?
- Creators
- Victor Camillo - Department of Mathematics , University of Iowa
- Resource Type
- Journal article
- Publication Details
- Communications in Algebra, Vol.24(11), pp.3637-3640
- Publisher
- Gordon and Breach Science Publishers Ltd
- DOI
- 10.1080/00927879608825775
- ISSN
- 0092-7872
- eISSN
- 1532-4125
- Language
- English
- Date published
- 01/01/1996
- Academic Unit
- Mathematics
- Record Identifier
- 9983985879502771
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