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BooksStandalone TitlesCollected Volumepp. 441–449

Graded algebras associated to algebraic algebras need not be algebraic cover
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Abstract

Dates

Published
24 April 2010
DOI
10.4171/077-1/19

Keywords

  • Nil algebra
  • algebraic algebra
  • associated graded algebra

Mathematics Subject Classification

  • 16-XX
  • 00-XX
  • 00-XX
  • 00-XX
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Graded algebras associated to algebraic algebras need not be algebraic

  • Agata Smoktunowicz

    University of Edinburgh, United Kingdom

It is shown that the associated graded algebras of affine nil algebras need not be nil. A similar argument shows that filtered algebras generated in degree one of nil algebras need not be nil. This answers a question of Riley [5].