semihereditary

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adjective

Of a ring: hereditary for finitely generated submodules.

Scrabble 23
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Meanings

adjectivesemihereditary (not comparable)
  1. not comparablemathematicsOf 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

From semi- + hereditary.

Full word history & related roots →
Cite this entry
APA

semihereditary. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/semihereditary

MLA

“semihereditary.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/semihereditary. Accessed November 3, 2026.

Chicago

WatkinsX Dictionary, s.v. “semihereditary,” accessed November 3, 2026, https://dictionary.watkinsx.com/word/semihereditary.

Source: semihereditary on Wiktionary, CC BY-SA 4.0.