Document Type
Article
Rights
This item is available under a Creative Commons License for non-commercial use only
Abstract
Nicholson defined a ring to be clean if every element is the sum of a unit and an idempotent. A module is clean if its endomorphism algebra is clean. We show that torsion-complete Abelian p-groups are clean and characterize the clean groups among the class of totally projective p-groups. An example is given of a clean p-group which is neither totally projective nor torsion- complete
DOI
https://doi.org/10.21427/kgn6-jk47
Recommended Citation
Goldsmith, B. & Vamos, P. (2007). A note on clean abelian groups. Rendiconti del Seminario Matematico della Universita di Padova, no, 117, pg. 181-191. doi:10.21427/kgn6-jk47
Publication Details
In Rendiconti del Seminario Matematico della Universita di Padova, 117, 2007, pp.181-191. http://rendiconti.math.unipd.it/volumes/vol117.php?lan=english