semihereditary

EnglishEdit

EtymologyEdit

semi- +‎ hereditary

AdjectiveEdit

semihereditary (not comparable)

  1. (mathematics) Of a ring: hereditary for finitely generated submodules.
    • 2016, Bohdan Zabavsky, “Type conditions of stable range for identification of qualitative generalized classes of rings”, in arXiv[1]:
      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.