Countable and Full Exchange Rings

Details Countable and Full Exchange Rings Countable and Full Exchange Rings

2004-06-11

arxiv.org/abs/math/0406230v2

Communications in Algebra 35(1):3-23, 2007

Mathematics

Rings and Algebras

15 pages

Scientific paper

10.1080/00927870600936815

We show that a suitable ring with a ``nice'' topology, in which convergent limits of units are units, is an \aleph_0-exchange ring. We generalize the argument to show that a semi-regular ring, R, with a ``nice'' topology, is a full exchange ring. Putting these results in the language of modules, we show that a cohopfian module with finite exchange has countable exchange. Also, all modules with Dedekind-finite, semi-regular endomorphism rings are full exchange modules.

Affiliated with

Also associated with

No associations

Rating

Countable and Full Exchange Rings 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 Countable and Full Exchange Rings, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Countable and Full Exchange Rings will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-106517