Excellent extensions

DOI10.1080/00927878808823597zbMath0642.16022OpenAlexW4231301205MaRDI QIDQ3784272

Patrick N. Stewart, Michael M. Parmenter

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1080/00927878808823597

zbMATH Keywords

crossed productsvon Neumann regular ringsingular submoduleexcellent extensionfinite free normalizing extension

Mathematics Subject Classification ID

Centralizing and normalizing extensions (16S20)

Related Items (25)

Tilting pair over split-by-nilpotent extensions ⋮ On the regular radical of a group ring ⋮ WEAK-MORITA-DUALITY AND EXCELLENT EXTENSIONS ⋮ Excellent extensions and homologieal dimensions ⋮ Prime essential rings ⋮ SF-Rings and excellent extensions ⋮ On co-semihereditary rings ⋮ CS matrix rings over local rings ⋮ Relative regular modules. Applications to von Neumann regular rings. ⋮ Excellent extensions and global cotorsion dimensions. ⋮ Essential extensions, excellent extensions and finitely presented dimension ⋮ Flat model structures under excellent extensions ⋮ Upper middle annihilators ⋮ On injective hulls of simple modules ⋮ Generalization of normalizing extensions and some applications^∗ ⋮ On group modules ⋮ Invariant properties of representations under excellent extensions. ⋮ RELATIVE INJECTIVITY OF MODULES AND EXCELLENT EXTENSIONS ⋮ Rings with Flat Socles ⋮ RIGHT GORENSTEIN GLOBAL DIMENSION OF AN (ALMOST) EXCELLENT EXTENSION ⋮ V-Categories: Applications to Graded Rings ⋮ A sufficient condition for a smash product to be a transfinite left free normalizing extension and its application ⋮ The rings characterized by minimal left ideals. ⋮ Torsion theory extensions and finite normalizing extensions ⋮ On n-presented modules and almost excellent extensions^∗

Cites Work

• Unnamed Item
• It's essentially Maschke's theorem
• An example of a Goldie ring whose matrix ring is not Goldie
• Normalizing extensions: Prime ideals and incomparability
• The strongly prime radical of crossed products
• Properties of normalizing extensions and fixed rings
• The splitting property for graded rings

This page was built for publication: Excellent extensions