Primitive noetherian algebras with big centers

DOI10.1090/S0002-9939-00-05809-3zbMath0976.16005OpenAlexW1545589416MaRDI QIDQ2706568

Ronald S. Irving

Publication date: 20 March 2001

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-00-05809-3

zbMATH Keywords

finitely generated modulesfree modulesNullstellensatzfaithful simple modulesgeneric freenessprimitive Noetherian algebras

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Free, projective, and flat modules and ideals in associative algebras (16D40) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items

Generic flatness for strongly Noetherian algebras ⋮ On the importance of being primitive

Cites Work

• Certaines algèbres de type fini sont des algèbres de Jacobson
• Generic flatness for strongly Noetherian algebras
• Generic flatness and the nullstellensatz for ore extensions
• On the Endomorphism Ring of a Simple Module Over an Enveloping Algebra
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