Essential embedding of cyclic modules in projectives

DOI10.1090/S0002-9947-97-01529-8zbMath0892.16012OpenAlexW1695248445MaRDI QIDQ4372601

Pedro A. Guil Asensio, José L. Gómez Pardo

Publication date: 16 December 1997

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-97-01529-8

zbMATH Keywords

projective modulesdirect summandsinjective cogeneratorsfinitely generated right modulescyclic right modulesright CS-ringsselfinjective ringsright FGF-ringsquasi Frobenius ringscomplement right idealsessentially embeddable modules

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Quasi-Frobenius rings (16L60) Noncommutative local and semilocal rings, perfect rings (16L30) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Related Items

New characterizations of pseudo-Frobenius rings and a generalization of the FGF conjecture, The rings in which all super finitely presented modules are Gorenstein projective, Generalization of CS condition, Annihilators and the CS-condition, WHEN SELF-INJECTIVE RINGS ARE QF: A REPORT ON A PROBLEM, Rad-injective and Almost-injective Modules and Rings, Soc-Injective Rings and Modules*, THE FGF CONJECTURE AND THE SINGULAR IDEAL OF A RING, Rings with finite essential socle, On two open problems about embedding of modules in free modules^∗

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Embedding torsionless modules in projectives
• Rings whose cyclics are essentially embeddable in projective modules
• A generalization of quasi-Frobenius rings
• Torsion-Free and Divisible Modules Over Non-Integral-Domains
• On a class of QI-rings
• RINGS IN WHICH EVERY COMPLEMENT RIGHT IDEAL IS A DIRECT SUMMAND
• A Generalization of the Wedderburn-Artin Theorem
• Endomorphism rings of completely pure-injective modules
• Radical properties of perfect modules.