The fundamental prime ideals of a noetherian prime PI ring

DOI10.1017/S0013091500028935zbMath0697.16016MaRDI QIDQ3474797

Edward S. Letzter, Thomas H. Lenagan

Publication date: 1990

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

zbMATH Keywords

prime idealsecond layer conditioninjective hullnoetherian ringfundamental seriestrace ringright cliquePI-degreecentralizing generatorsfundamental primesideal linkprime noetherian PI-ring

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Noetherian rings and modules (associative rings and algebras) (16P40) Rings with polynomial identity (16Rxx) Modules, bimodules and ideals in associative algebras (16Dxx)

Related Items

Unnamed Item, Classical localizability in solvable enveloping algebras and Poincaré- Birkhoff-Witt extensions, Prime spectra of quantum semisimple groups, Injective modules and representational repleteness

Cites Work

• An additivity principle for p.i. rings
• Localization in prime Noetherian P.I. rings
• The influence of ideal structure on representation theory
• Two-sided localization in Noetherian PI-rings
• On fully left bounded left Noetherian rings
• Prime Ideals in Intermediate Extensions