Please use this identifier to cite or link to this item: https://hdl.handle.net/10216/25795
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dc.creatorChristian Lomp
dc.date.accessioned2019-02-02T10:04:57Z-
dc.date.available2019-02-02T10:04:57Z-
dc.date.issued2006
dc.identifier.othersigarra:39897
dc.identifier.urihttps://repositorio-aberto.up.pt/handle/10216/25795-
dc.descriptionBican, Jambor, Kepka and Nemec defined a product on the lattice of submodules of a module, making any module into a partially ordered groupoid. Submodules that are idempotent with respect to this product behave similar as idempotent ideals in rings. In particular jansian torsion theoriescan be described through idempotent submodules. Moreover so-called coclosed submodules, which are essentially closed elements in the dual lattice of submodules of a module, turn out to be idempotent in pi-projective modules. The relation of strongly copolyform modules and the regularity of their endomorphism ring is discussed.
dc.description.abstractBican, Jambor, Kepka and Nemec defined a product on the lattice of submodules of a module, making any module into a partially ordered groupoid. Submodules that are idempotent with respect to this product behave similar as idempotent ideals in rings. In particular jansian torsion theoriescan be described through idempotent submodules. Moreover so-called coclosed submodules, which are essentially closed elements in the dual lattice of submodules of a module, turn out to be idempotent in pi-projective modules. The relation of strongly copolyform modules and the regularity of their endomorphism ring is discussed.
dc.language.isoeng
dc.rightsopenAccess
dc.rights.urihttps://creativecommons.org/licenses/by-nc/4.0/
dc.subjectÁlgebra, Matemática
dc.subjectAlgebra, Mathematics
dc.titleIdempotent Submodules
dc.typeRelatório Técnico
dc.contributor.uportoFaculdade de Ciências
dc.subject.fosCiências exactas e naturais::Matemática
dc.subject.fosNatural sciences::Mathematics
Appears in Collections:FCUP - Relatório Técnico

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