ALGEBRAS WITH POLYNOMIALLY BOUNDED GROWTH AND ENDOMORPHIS1M RINGS OF SIMPLE MODULES

DOI10.1093/QMATH/36.4.435zbMath0581.16004OpenAlexW2047922009MaRDI QIDQ3704025

Ronald S. Irving

Publication date: 1985

Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/qmath/36.4.435

zbMATH Keywords

Nullstellensatzgrowth functiongrowth of algebrasfinitely generated k-algebradivision algebra of endomorphismsfailure of the Nullstellensatzgrowth of finitely generated division algebrassimple A-module

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Infinite-dimensional simple rings (except as in 16Kxx) (16D30) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Division rings and semisimple Artin rings (16Kxx)

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Examples in finite Gel'fand-Kirillov dimension

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