Rings with flat left socle∗

DOI10.1080/00927879508825301zbMath0826.16002OpenAlexW2008903316MaRDI QIDQ4834857

Liu, Zhongkui

Publication date: 13 November 1995

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

Full work available at URL: https://doi.org/10.1080/00927879508825301

zbMATH Keywords

smash productsMorita equivalent ringsexcellent extensionsmaximal left idealssimple left modulesleft FS-ringsprojective left socleessential maximal left idealsfaithful left FS-modules

Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60)

Related Items (10)

IFP-Flat Modules andIFP-Injective Modules ⋮ On purities relative to minimal right ideals ⋮ Homological properties of trivial ring extensions ⋮ On $\mathscr{C}$-coherent rings, strongly $\mathscr{C}$-coherent rings and $\mathscr{C}$-semihereditary rings ⋮ Ps-rings of generalized power series ⋮ A Note on Relative Flatness and Coherence ⋮ Hermite and ps-rings of hurwitz series^∗ ⋮ Min-Flat Modules and Min-Coherent Rings ⋮ The rings characterized by minimal left ideals. ⋮ \(M\)-\(\mathcal A\)-injective (flat) and strongly \(\mathcal B\)-injective (flat) modules.

Cites Work

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• It's essentially Maschke's theorem
• Rings in which minimal left ideals are projective
• Localization on graded modules, relative Maschke's theorem and applications
• Essential Nilpotence
• On & - semisimple rings. A study of the socle of a ring
• Excellent extensions and homologieal dimensions
• Von neumaivn regularity of sf-rings

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