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Journal Articles Communications in Algebra Year : 2007

Indecomposable modules and Gelfand rings

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.
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Dates and versions

hal-00009474 , version 1 (04-10-2005)
hal-00009474 , version 2 (07-03-2007)

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Cite

Francois Couchot. Indecomposable modules and Gelfand rings. Communications in Algebra, 2007, 35, pp.231--241. ⟨10.1080/00927870601041615⟩. ⟨hal-00009474v2⟩
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