Semihereditary
Definition, Meaning & Examples
Part of speech adjective
Quick meaning: Semihereditary is an adjective meaning (mathematics) Of a ring: hereditary for finitely generated submodules.
Meaning
(mathematics) Of a ring: hereditary for finitely generated submodules.
Example Sentences
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.
Related Words
Related dictionary entries include hereditary, noetherian, semiperfect, semimodular, semiprimitive, ultrahomogeneous.
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Sources & Attribution
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