factor ideal

noun

Definitions

  1. For given ring R, any ideal I such that Q = R / I, the set of cosets of elements of I in…

    For given ring R, any ideal I such that Q = R / I, the set of cosets of elements of I in R, is a ring (the quotient ring of I in R).

    • 1965 [Prentice-Hall], Seth Warner, Modern Algebra, 1990, Dover, page 651, Consequently, we may speak of the sequence of invariant factor ideals of a finitely generated unitary module over a principal ideal domain A.

The neighborhood

Vish — recursive loop

No curated loop yet for factor ideal. Loops are being traced one word at a time while the ingestion pipeline matures.

sense glosses and etymology drawn from English Wiktionary · source · CC-BY-SA