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On graded characterizations of finite dimensionality for algebraic algebras

Letzter, ES
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Journal Article
Date
2017-12-01
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Algebraic algebra
 Associated graded algebra
 Graded-nil subring
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http://hdl.handle.net/20.500.12613/5675
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1706.02383v3.pdf
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10.1007/s00013-017-1090-8
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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Springer Science and Business Media LLC
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Archiv der Mathematik
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