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Dictionary

Words, grammatical forms and meanings linked to the ontology.

semihereditary en · ADJ

Etymology

From semi- + hereditary.

Meanings

  1. (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: