We present a class of counterexamples to the Cancellation Problem over arbitrary commutative rings, using non-free stably free modules and locally nilpotent derivations.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap76-1-8,
author = {Arno van den Essen and Peter van Rossum},
title = {A class of counterexamples to the Cancellation Problem for arbitrary rings},
journal = {Annales Polonici Mathematici},
volume = {77},
year = {2001},
pages = {89-93},
zbl = {1033.14038},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap76-1-8}
}
Arno van den Essen; Peter van Rossum. A class of counterexamples to the Cancellation Problem for arbitrary rings. Annales Polonici Mathematici, Tome 77 (2001) pp. 89-93. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap76-1-8/