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Some Remarks on Affine Rings

Some Remarks on Affine Rings

Various topics on affine rings are considered, such as the relationship between Gelfand-Kirillov dimension and Krull dimension, and when a "locally affine" algebra is affine.The dimension result is applied to study prime ideals in fixed rings of finite groups, and in identity components of group-graded rings.0. Introduction.We study affine rings …