Indecomposable modules and Gelfand rings
Rings and Algebras
2007-05-23 v2
Abstract
It is proved that a commutative ring is clean if and only if it is Gelfand with a totally disconnected maximal spectrum. Commutative rings for which each indecomposable module has a local endomorphism ring are studied. These rings are clean and elementary divisor rings.
Cite
@article{arxiv.math/0510068,
title = {Indecomposable modules and Gelfand rings},
author = {Francois Couchot},
journal= {arXiv preprint arXiv:math/0510068},
year = {2007}
}