The singular submodule splits off

DOI10.1016/0021-8693(68)90091-4zbMath0176.31602OpenAlexW1993871539MaRDI QIDQ2533640

F. L. Sandomierski, V. C. Cateforis

Publication date: 1968

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

Full work available at URL: https://doi.org/10.1016/0021-8693(68)90091-4

zbMATH Keywords

commutative algebra

Related Items

Strongly graded rings with the bounded splitting property, Relative splitting properties with applications to endomorphism rings, Splitting torsion theories over commutative rings, Relative injectivity and chain conditions, Characterization of Rings Using Quasiprojective Modules. III, SP-INJECTIVITY OF MODULES AND RINGS, Regular semi-Artinian rings., Rings all of whose torsion quasi-injective modules are injective, A Splitting Ring of Global Dimension Two, Subrings of idealizer rings, Divisible modules codivisible modules and quasi-divisible modules, Unnamed Item, The structure of localizable algebras having finite global dimension, The torsion submodule splits off, Ideals in prime singular splitting rings, The splitting of bounded torsion submodules, Subidealizer rings and the splitting properties

Cites Work

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• On semi-hereditary rings
• Rings all of whose finitely generated modules are injective
• Torsion-free modules and rings
• Semi-Prime Rings with Maximum Condition
• Finitistic Dimension and a Homological Generalization of Semi-Primary Rings
• Direct Products of Modules
• Torsion-Free and Divisible Modules Over Non-Integral-Domains
• Modules over commutative regular rings
• Semisimple Maximal Quotient Rings
• Nonsingular Rings
• A Foundation of Torsion Theory for Modules Over General Rings
• On Regular Rings
• The Extended Centralizer of a Ring Over a Module
• Modules Over Dedekind Rings and Valuation Rings