Graded algebras associated to algebraic algebras need not be algebraic

Agata Smoktunowicz

doi:10.4171/077

Graded algebras associated to algebraic algebras need not be algebraic

Agata Smoktunowicz

School of Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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.

Original language	English
Title of host publication	Proceedings of the European Congress of Mathematics
Editors	A Ran, Herman te Riele , Jan Wiegerinck
Publisher	European Mathematical Society Publishing Hose
ISBN (Print)	978-3-03719-077-7
DOIs	https://doi.org/10.4171/077
Publication status	Published - Apr 2010

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10.4171/077

http://www.ems-ph.org/books/book.php?proj_nr=111

1 Finished

Nil algebras, algebraic algebras and algebras with finite Gelfand-Kirillov dimension
Smoktunowicz, A.
EPSRC
1/08/06 → 31/07/11
Project: Research

Cite this

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DO - 10.4171/077

M3 - Conference contribution

SN - 978-3-03719-077-7

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Graded algebras associated to algebraic algebras need not be algebraic

Abstract

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Nil algebras, algebraic algebras and algebras with finite Gelfand-Kirillov dimension

Cite this