semihereditary
semihereditary adjective: of a ring: hereditary for finitely generated submodules.
Adjective
semihereditary (not comparable)
- 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.2016, Bohdan Zabavsky, “Type conditions of stable range for identification of qualitative generalized classes of rings”, in arXiv
Origin of semihereditary
From semi- + hereditary.
Questions about semihereditary
- What does semihereditary mean?
- Semihereditary means of a ring: hereditary for finitely generated submodules.
- What part of speech is semihereditary?
- Semihereditary is an adjective.
Words near semihereditary in the dictionary
Source and license
Adapted from Wiktionary: semihereditary (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.
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