An algebraic Ring which appears in treatments of duality in Algebraic Geometry. Let be a local Artinian Ring with its maximal Ideal. Then is a Gorenstein ring if the Annihilator of has Dimension 1 as a Vector Space over .

**References**

Eisenbud, D.; Green, M.; and Harris, J. ``Cayley-Bacharach Theorems and Conjectures.'' *Bull. Amer. Math. Soc.*
**33**, 295-324, 1996.

© 1996-9

1999-05-25