Rings with Projective Socle

DOI10.2307/2047200zbMath0657.16015OpenAlexW4238632651MaRDI QIDQ3804854

J. F. Watters, W. Keith Nicholson

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2047200

zbMATH Keywords

idempotentMorita invariantright annihilatormaximal left idealpower series extensionsprojective left socle

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Free, projective, and flat modules and ideals in associative algebras (16D40) Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Conditions on elements (16U99)

Related Items

Generalizations of von Neumann regular rings, PP rings, and Baer rings, MC2 RINGS AND WQD RINGS, Subdirect product of PS-rings need not be PS, On purities relative to minimal right ideals, Homological properties of trivial ring extensions, On a conjecture posed by Benhissi and Koja, PS-modules over Ore extensions and skew generalized power series rings, On MF-projective modules, Projective dimension of singular modules over nonsingular rings with essential socle, Rings with Flat Socles, Neat submodules over commutative rings, Unnamed Item, Rings with the Kazimirsky condition and rings with projective socle, Cotorsion modules and relative pure-injectivity, On subprojectivity domains of g-semiartinian modules, The rings characterized by minimal left ideals., Morita contexts and the projective socle property, \(M\)-\(\mathcal A\)-injective (flat) and strongly \(\mathcal B\)-injective (flat) modules.

Cites Work

• Unnamed Item
• Generalized V-rings and von Neumann regular rings
• Rings in which minimal left ideals are projective
• Polynomial rings over finite dimensional rings
• Rings of quotients and Morita contexts
• Morita context functors
• On & - semisimple rings. A study of the socle of a ring
• A note on extensions of Baer and P. P. -rings
• On rings with essential socle
• Regular Modules
• Note on P.P. Rings: (A Supplement to Hattori’s Paper)