Krull dimension in serial rings

DOI10.1016/0021-8693(89)90133-6zbMath0689.16012OpenAlexW2006239562MaRDI QIDQ581629

Mary H. Wright

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0021-8693(89)90133-6

zbMATH Keywords

Jacobson radical\(\alpha\)-cliques of local projectivesleft Krull dimensionright and left serial ringright Krull dimension

Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Modules, bimodules and ideals in associative algebras (16Dxx) Radicals and radical properties of associative rings (16Nxx)

Related Items (7)

Serial rings with krull dimension ⋮ Prime serial rings with krull dimension ⋮ Endomorphism rings, power series rings, and serial modules ⋮ Uniform modules over serial rings ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Semidistributive modules

Cites Work

• Serial rings with right Krull dimension one
• Serial rings with right Krull dimension one. II
• Serial rings and finitely presented modules
• Jacobson's conjecture and modules over fully bounded Noetherian rings
• The structure of serial rings
• Certain uniform modules over serial rings are uniserial
• Krull dimension and torsion radicals
• Transfinite powers of the jacobson radical
• Serial Right Noetherian Rings
• Krull dimension

This page was built for publication: Krull dimension in serial rings