Weil divisor

From Commalg

Template:Divisor notion

History

Origin

This term was introduced by: Mumford

Definition

Symbol-free definition

A Weil divisor in a commutative unital ring is defined as an element of the free Abelian group whose generators are the prime ideals of codimension 1. Equivalently, it is a formal linear combination of codimension 1 prime ideals with integer coefficients.

Related notions