Gorenstein Ring
An algebraic ring which appears in treatments of duality in algebraic geometry. Let A be a local Artinian ring with m subset A its maximal ideal. Then A is a Gorenstein ring if the annihilator of m has dimension 1 as a vector space over K=A/m.
See also
Cayley-Bacharach Theorem, Cohen-Macaulay RingExplore with Wolfram|Alpha
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References
Eisenbud, D.; Green, M.; and Harris, J. "Cayley-Bacharach Theorems and Conjectures." Bull. Amer. Math. Soc. 33, 295-324, 1996.Referenced on Wolfram|Alpha
Gorenstein RingCite this as:
Weisstein, Eric W. "Gorenstein Ring." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/GorensteinRing.html