Indecomposable modules and Gelfand rings

Details Indecomposable modules and Gelfand rings Indecomposable modules and Gelfand rings

2005-10-04

arxiv.org/abs/math/0510068v2

Communications in Algebra 35 (29/01/2007) 231--241

Mathematics

Rings and Algebras

Scientific paper

10.1080/00927870601041615

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.

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