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Graded algebras associated to algebraic algebras need not be algebraic

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Original languageEnglish
Title of host publicationProceedings of the European Congress of Mathematics
EditorsA Ran, Herman te Riele , Jan Wiegerinck
PublisherEuropean Mathematical Society Publishing Hose
ISBN (Print)978-3-03719-077-7
DOIs
Publication statusPublished - Apr 2010

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.

ID: 528772