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 {{harvtxt|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
- {{citation|mr=0441957
|last=Sharp|first= Rodney Y.
|title= Acceptable rings and homomorphic images of Gorenstein rings
|journal = Journal of Algebra
|volume = 44
|year = 1977
|pages= 246–261
|doi=10.1016/0021-8693(77)90180-6
|doi-access= free
}}
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