Noetherian algebras over algebraically closed fields.

DOI10.1016/j.jalgebra.2006.08.026zbMath1117.16010arXivmath/0606209OpenAlexW1983296623MaRDI QIDQ876341

Jason P. Bell

Publication date: 18 April 2007

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0606209

zbMATH Keywords

Noetherian domainsbase changefinitely generated field extensionsquotient division algebrasstably Noetherian algebrasstrongly Noetherian algebras

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Noetherian rings and modules (associative rings and algebras) (16P40) Localization and associative Noetherian rings (16P50) Field extensions (12F99)

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Affine Noetherian algebras, filtrations and presentations, GRADED TWISTED CALABI–YAU ALGEBRAS ARE GENERALIZED ARTIN–SCHELTER REGULAR, The Dixmier-Moeglin equivalence for twisted homogeneous coordinate rings., Affine Noetherian algebras and extensions of the base field II, The Dixmier-Moeglin equivalence for extensions of scalars and Ore extensions, Endomorphism property of vertex operator algebras over arbitrary fields, Stably just infinite rings., Free subalgebras of division algebras over uncountable fields., Stably Noetherian algebras of polynomial growth, A Prime Ideal Principle for Two-Sided Ideals

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