factor ideal

短语

词形变化

factor ideals 复数 factor ideals

释义与例句

n.
  1. 1.

    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).

    数学

    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.

    1985 [W. H. Freeman and Company], Nathan Jacobson, Basic Algebra I, 2nd Edition, Dover, 2009, page 193, We shall now call the sequence of order ideals, ann z₁, ann z₂, ..., whose uniqueness has just been proved, the invariant factor ideals of the module M.