Generalizations of von Neumann regular rings, PP rings, and Baer rings

DOI10.1007/s11464-016-0523-1zbMath1355.16005OpenAlexW2292471567MaRDI QIDQ282419

Li-Xin Mao

Publication date: 12 May 2016

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-016-0523-1

zbMATH Keywords

Baer ringBaer\(^*\) moduleIDS moduleIP modulePP ringvon Neumann regular ring

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Free, projective, and flat modules and ideals in associative algebras (16D40)

Related Items

Module-theoretic generalization of commutative von Neumann regular rings

Cites Work

• Properties of \(P\)-coherent and Baer modules.
• Coherence for polynomial rings
• Relative coherence and preenvelopes
• On PP-rings
• Rings close to Baer.
• Pure theories
• Dual Rickart Modules
• Rings with Projective Socle
• F-projectivity and flat epimqrphisms
• Rickart Modules
• Generalized Morphic Rings and Their Applications
• Relative Flatness, Mittag–Leffler Modules, and Endocoherence
• p.p Rings and Finitely Generated Flat Ideals
• Endomorphism Rings of Projective Modules
• Regular Modules
• A Foundation of Torsion Theory for Modules Over General Rings
• Note on P.P. Rings: (A Supplement to Hattori’s Paper)
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