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Pronunciation varies by accent · adjective
(mathematics) Of a ring: hereditary for finitely generated submodules..
The classical ring of quotients of a commutative Bezout ring is a (von Neumann) regular local ring if and only if R is a commutative semihereditary local ring.
Use semihereditary when its meaning, tone and grammar fit the full sentence. A synonym is not always a direct replacement.
Semihereditary means (mathematics) Of a ring: hereditary for finitely generated submodules..
The closest synonym depends on the sentence and intended sense.
The opposite depends on the specific sense.
The classical ring of quotients of a commutative Bezout ring is a (von Neumann) regular local ring if and only if R is a commutative semihereditary local ring.
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