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    On graded characterizations of finite dimensionality for algebraic algebras

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    Genre
    Journal Article
    Date
    2017-12-01
    Author
    Letzter, ES
    Subject
    Algebraic algebra
    Associated graded algebra
    Graded-nil subring
    Permanent link to this record
    http://hdl.handle.net/20.500.12613/5675
    
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    DOI
    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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    ae974a485f413a2113503eed53cd6c53
    http://dx.doi.org/10.34944/dspace/5657
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