BooksStandalone TitlesCollected Volumepp. 441–449

Graded algebras associated to algebraic algebras need not be algebraic

  • Agata Smoktunowicz

    University of Edinburgh, United Kingdom
Graded algebras associated to algebraic algebras need not be algebraic cover
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Abstract

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].