semihereditary

English

Etymology

semi- +‎ hereditary

Adjective

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.