Acceptable ring

In mathematics, an acceptable ring is a generalization of an excellent ring, with the conditions about regular rings in the definition of an excellent ring replaced by conditions about Gorenstein rings. Acceptable rings were introduced by Sharp (1977).

All finite-dimensional Gorenstein rings are acceptable, as are all finitely generated algebras over acceptable rings and all localizations of acceptable rings.

References

This article is issued from Wikipedia - version of the 2/28/2015. The text is available under the Creative Commons Attribution/Share Alike but additional terms may apply for the media files.