# semihereditary

## EnglishEdit

### EtymologyEdit

*semi-* + *hereditary*

### AdjectiveEdit

**semihereditary** (*not comparable*)

- (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.