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Hereditary ring

In mathematics, especially in the area of abstract algebra known as module theory, a ring R is called hereditary if all submodules of projective modules over R are again projective. If this is required only for finitely generated submodules, it is called semihereditary.

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Hereditary ring

Nodes34
Edges33
Triples20
Avg. degree1.94
Density0.058824
Components1

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Hereditary ring

Top relations

related to Examples · 16
Hereditary ring → An, By, Bézout, Dedekind, Finally, For, Hence, If, It, Neumann, Prüfer, Rickart, S/I, Semisimple, The, This
related to Properties · 2
Hereditary ring → For, R-module
is a · 1
Hereditary ring → path algebra of a quiver

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Important terminology

hereditary left right ring projective domain modules finitely generated submodules algebra called semihereditary mathematics isbn zbl ideals hence semi- displaystyle

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Hereditary ringis apath algebra of a quiver0.90text
E x t R iinstance ofHence the usual derived functors0.80text
Hereditary ringrelated to ExamplesSemisimple0.60section
Hereditary ringrelated to ExamplesBy0.60section
Hereditary ringrelated to ExamplesNeumann0.60section
Hereditary ringrelated to ExamplesFor0.60section
Hereditary ringrelated to ExamplesHence0.60section
Hereditary ringrelated to ExamplesThis0.60section
Hereditary ringrelated to ExamplesRickart0.60section
Hereditary ringrelated to ExamplesIt0.60section
Hereditary ringrelated to ExamplesBézout0.60section
Hereditary ringrelated to ExamplesFinally0.60section

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