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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 wikiPageRevisionID "567217566".
- Hereditary_ring hasPhotoCollection Hereditary_ring.
- Hereditary_ring subject Category:Ring_theory.
- 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 "Anel hereditário".
- Hereditary_ring label "Erblichkeit (Mathematik)".
- Hereditary_ring label "Hereditary ring".
- Hereditary_ring sameAs Erblichkeit_(Mathematik).
- Hereditary_ring sameAs Anel_hereditário.
- Hereditary_ring sameAs m.0d3r28.
- Hereditary_ring sameAs Q847887.
- Hereditary_ring sameAs Q847887.
- Hereditary_ring wasDerivedFrom Hereditary_ring?oldid=567217566.
- Hereditary_ring isPrimaryTopicOf Hereditary_ring.