On our paper `Almost Free Splitter', a correction

Details On our paper `Almost Free Splitter', a correction On our paper `Almost Free Splitter', a correction

2000-09-06

arxiv.org/abs/math/0009063v1

Mathematics

Logic

Scientific paper

Let R be a subring of Q and recall from math.LO/9910161 that an R-module G is a splitter if Ext_R(G,G)=0. We correct the statement of Main Theorem 1.5 in math.LO/9910161. Assuming CH any aleph_1$-free splitter of cardinality aleph_1 is free over its nucleus as shown in math.LO/9910161. Generally these modules are very close to being free as explained below. This change follows from math.LO/9910161 and is due to an incomplete proof (noticed thanks to Paul Eklof) in the first section of math.LO/9910161. Assuming the negation of CH, in Shelah [Sh:F417] (work in progress) it will be shown that under Martin's axiom these splitters are free indeed. However there are models of set theory having non-free aleph_1-free splitter of cardinality aleph_1.

Affiliated with

Also associated with

No associations

Rating

On our paper `Almost Free Splitter', a correction does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On our paper `Almost Free Splitter', a correction, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On our paper `Almost Free Splitter', a correction will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-518801