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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 Ring

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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.

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Gorenstein Ring

Cite this as:

Weisstein, Eric W. "Gorenstein Ring." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/GorensteinRing.html

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