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.
Baer ringBézout domainDedekind domainDivisible groupFinitely generated moduleFree ideal ringGlobal dimensionGlossary of ring theoryHereditary algebraHighest-weight categoryInjective moduleList of abstract algebra topicsMorita equivalenceProjective modulePrüfer domainQuiver (mathematics)Semi-hereditary conditionSemi-hereditary ringSemihereditarySemihereditary ringSerial moduleSingular submoduleTilting theoryTorsionless moduleVon Neumann algebraVon Neumann regular ring
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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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Em matemática, um anel R é den ...... tário à direita, e vice-versa.
@pt
In der Mathematik liefert die ...... h sind, und umgekehrt (s. u.).
@de
In mathematics, especially in ...... i-)hereditary, and vice versa.
@en
数学、とくに加群論として知られている抽象代数学の分野において ...... 右（半）遺伝的でないことはあり、左右を逆にしても同様である。
@ja
환론에서, 유전환(遺傳環, 영어: hereditary ring)은 사영 가군의 부분 가군이 역시 사영 가군인 환이다.
@ko
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Em matemática, um anel R é den ...... tário à direita, e vice-versa.
@pt
In der Mathematik liefert die ...... t bereits nach zwei Schritten.
@de
In mathematics, especially in ...... , it is called semihereditary.
@en
数学、とくに加群論として知られている抽象代数学の分野において ...... 右（半）遺伝的でないことはあり、左右を逆にしても同様である。
@ja
환론에서, 유전환(遺傳環, 영어: hereditary ring)은 사영 가군의 부분 가군이 역시 사영 가군인 환이다.
@ko
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Anel hereditário
@pt
Erblichkeit (Mathematik)
@de
Hereditary ring
@en
遺伝環
@ja
유전환
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