On graded characterizations of finite dimensionality for algebraic algebras
Permanent link to this recordhttp://hdl.handle.net/20.500.12613/5675
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Abstract© 2017, Springer International Publishing AG. We observe that a finitely generated algebraic algebra R (over a field) is finite dimensional if and only if the associated graded ring gr R is right noetherian, if and only if gr R has right Krull dimension, if and only if gr R satisfies a polynomial identity.
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