Principal ideal theorem for Noetherian P.I.rings

DOI10.1016/0021-8693(75)90032-0zbMath0308.16012OpenAlexW1995298725MaRDI QIDQ1218492

Arun Vinayak Jategaonkar

Publication date: 1975

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

Full work available at URL: https://doi.org/10.1016/0021-8693(75)90032-0

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Prime and semiprime associative rings (16N60) Rings with polynomial identity (16Rxx) Modules, bimodules and ideals in associative algebras (16Dxx)

Related Items

The principal ideal theorem in prime Noetherian rings ⋮ Reduced rank and normalizing elements ⋮ Right noetherian rings integral over their centers ⋮ Unibranched Prime Ideals and Going Down in PI Rings ⋮ Prime ideals in PI-rings ⋮ Relative krull dimension and prime ideals in right noetherian rings ⋮ On noncommutative bounded factorization domains and prime rings ⋮ A note on the invertible ideal theorem ⋮ Associative rings ⋮ A representation theory for noetherian rings ⋮ Modules

Cites Work

• Jacobson's conjecture and modules over fully bounded Noetherian rings
• Noetherian Pi-Rings
• Relative krull dimension and prime ideals in right noetherian rings
• Localisation in PI -Rings
• Localization and the AR Property
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