Divisor Theory

A generalization by Kronecker of Kummer's theory of Prime Ideal factors. A divisor on a full subcategory $C$ of mod($A$) is an additive mapping $\chi$ on $C$ with values in a Semigroup of Ideals on $A$.

See also Ideal, Ideal Number, Prime Ideal, Semigroup

References

Edwards, H. M. Divisor Theory. Boston, MA: Birkhäuser, 1989.

Vasconcelos, W. V. Divisor Theory in Module Categories. Amsterdam, Netherlands: North-Holland, pp. 63-64, 1974.