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- Hereditary_ring abstract "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.For a noncommutative ring R, the terms left hereditary and left semihereditary and their right hand versions are used to distinguish the property on a single side of the ring. To be left (semi-)hereditary, all (finitely generated) submodules of projective left R-modules must be projective, and to be right (semi-)hereditary all (finitely generated) submodules of projective right submodules must be projective. It is possible for a ring to be left (semi-)hereditary but not right (semi-)hereditary, and vice versa.".
- Hereditary_ring wikiPageExternalLink quivlecs.pdf.
- Hereditary_ring wikiPageID "5123176".
- Hereditary_ring wikiPageLength "4368".
- Hereditary_ring wikiPageOutDegree "27".
- Hereditary_ring wikiPageRevisionID "674572904".
- Hereditary_ring wikiPageWikiLink Abstract_algebra.
- Hereditary_ring wikiPageWikiLink Baer_ring.
- Hereditary_ring wikiPageWikiLink Bézout_domain.
- Hereditary_ring wikiPageWikiLink Cambridge_University_Press.
- Hereditary_ring wikiPageWikiLink Category:Ring_theory.
- Hereditary_ring wikiPageWikiLink Dedekind_domain.
- Hereditary_ring wikiPageWikiLink Derived_functor.
- Hereditary_ring wikiPageWikiLink Domain_(ring_theory).
- Hereditary_ring wikiPageWikiLink Finitely_generated_module.
- Hereditary_ring wikiPageWikiLink Graduate_Texts_in_Mathematics.
- Hereditary_ring wikiPageWikiLink Ideal_(ring_theory).
- Hereditary_ring wikiPageWikiLink Integral_domain.
- Hereditary_ring wikiPageWikiLink Left_ideal.
- Hereditary_ring wikiPageWikiLink Mathematics.
- Hereditary_ring wikiPageWikiLink Module_(mathematics).
- Hereditary_ring wikiPageWikiLink Module_theory.
- Hereditary_ring wikiPageWikiLink Oxford_University_Press.
- Hereditary_ring wikiPageWikiLink Path_algebra.
- Hereditary_ring wikiPageWikiLink Principal_ideal_ring.
- Hereditary_ring wikiPageWikiLink Projective_module.
- Hereditary_ring wikiPageWikiLink Projective_resolution.
- Hereditary_ring wikiPageWikiLink Prüfer_domain.
- Hereditary_ring wikiPageWikiLink Quiver_(mathematics).
- Hereditary_ring wikiPageWikiLink Resolution_(algebra).
- Hereditary_ring wikiPageWikiLink Rickart_ring.
- Hereditary_ring wikiPageWikiLink Ring_(mathematics).
- Hereditary_ring wikiPageWikiLink Semisimple_module.
- Hereditary_ring wikiPageWikiLink Semisimple_ring.
- Hereditary_ring wikiPageWikiLink Springer-Verlag.
- Hereditary_ring wikiPageWikiLink Springer_Science+Business_Media.
- Hereditary_ring wikiPageWikiLink Submodule.
- Hereditary_ring wikiPageWikiLink Von_Neumann_regular_ring.
- Hereditary_ring wikiPageWikiLinkText "(semi)hereditary ring".
- Hereditary_ring wikiPageWikiLinkText "(semi-)hereditary".
- Hereditary_ring wikiPageWikiLinkText "Hereditary ring".
- Hereditary_ring wikiPageWikiLinkText "hereditary ring".
- Hereditary_ring wikiPageWikiLinkText "hereditary".
- Hereditary_ring wikiPageWikiLinkText "left hereditary".
- Hereditary_ring wikiPageWikiLinkText "semihereditary".
- Hereditary_ring hasPhotoCollection Hereditary_ring.
- Hereditary_ring wikiPageUsesTemplate Template:Abstract-algebra-stub.
- Hereditary_ring wikiPageUsesTemplate Template:Citation.
- Hereditary_ring wikiPageUsesTemplate Template:Reflist.
- Hereditary_ring subject Category:Ring_theory.
- Hereditary_ring type Article.
- Hereditary_ring type Article.
- Hereditary_ring comment "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.For a noncommutative ring R, the terms left hereditary and left semihereditary and their right hand versions are used to distinguish the property on a single side of the ring.".
- Hereditary_ring label "Hereditary ring".
- Hereditary_ring sameAs Erblichkeit_(Mathematik).
- Hereditary_ring sameAs חוג_תורשתי.
- Hereditary_ring sameAs 遺伝環.
- Hereditary_ring sameAs Anel_hereditário.
- Hereditary_ring sameAs m.0d3r28.
- Hereditary_ring sameAs Q847887.
- Hereditary_ring sameAs Q847887.
- Hereditary_ring wasDerivedFrom Hereditary_ring?oldid=674572904.
- Hereditary_ring isPrimaryTopicOf Hereditary_ring.