Failure of the Nullstellensatz Influences the Growth of Affine Algebras

DOI10.1112/BLMS/17.6.549zbMATH Open0581.16026OpenAlexW2004948925MaRDI QIDQ3704039

T. H. Lenagan

Publication date: 1985

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/blms/17.6.549

zbMATH Keywords

endomorphismssimple moduleGelfand-Kirillov dimensionNullstellensatzfinitely generated algebragrowth of algebrascountable fieldfaithful simple A-moduleGoldie-ringnonartinian prime right Goldie k-algebra

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Homological dimension in associative algebras (16E10) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Representation theory of associative rings and algebras (16Gxx)

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