Modules with many homomorphisms.

DOI10.1016/J.JPAA.2004.09.001zbMath1087.16001OpenAlexW2033919458MaRDI QIDQ1772260

Patrick F. Smith

Publication date: 18 April 2005

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2004.09.001

zbMATH Keywords

projective modulesassociated prime idealsright FBN ringsweak generatorsslightly compressible modules

Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40) Automorphisms and endomorphisms (16W20) Commutative Noetherian rings and modules (13E05) Noncommutative local and semilocal rings, perfect rings (16L30) General module theory in associative algebras (16D10) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items (24)

On weak Rickart modules ⋮ On lattices associated to rings with respect to a preradical ⋮ Dual Rickart Modules ⋮ Study of Semi-projective Retractable Modules ⋮ On rings whose modules have nonzero homomorphisms to nonzero submodules. ⋮ ESSENTIALLY SLIGHTLY COMPRESSIBLE MODULES AND RINGS ⋮ ON e-SMALL RETRACTABLE MODULES ⋮ S-T-CORETRACTABLE MODULES ⋮ Unnamed Item ⋮ When mutually epimorphic modules are isomorphic ⋮ Retractable and coretractable modules over formal triangular matrix rings ⋮ Co-Kasch and co-polyform abelian groups ⋮ A class of retractable and coretractable modules ⋮ On Iso-Retractable Modules and Rings ⋮ Coretractable modules relative to a module ⋮ Mod-retractable strongly π-regular rings and group algebras ⋮ Quasi-coretractable modules ⋮ Submodules of Direct Sums of Compressible Modules ⋮ Iso-retractable modules and rings ⋮ Primitive submodules, co-semisimple and regular modules ⋮ Unnamed Item ⋮ CORETRACTABLE MODULES ⋮ BOUNDED AND FULLY BOUNDED MODULES ⋮ On Weak Dual Rickart Modules and Dual Baer Modules

Cites Work

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• Finiteness of the injective hull
• On semi-artinian \(V\)-modules
• On Loewy length of rings
• Rings whose modules have maximal submodules
• Rings over which every module has a maximal submodule
• Modules with decompositions that complement direct summands
• On rings whose simple modules are injective
• Divisible Ideals of Noetherian Rings
• 3.—A Note on Projective Modules
• Weakly semisimple modulesand density theory
• Homological properties of the ring of differential polynomials
• Anneaux semi-artiniens
• The Radical and Semi-Simplicity for Arbitrary Rings

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