A CHARACTERIZATION OF GOLDIE EXTENDING MODULES OVER DEDEKIND DOMAINS

DOI10.1142/S0219498811005178zbMath1274.13016OpenAlexW2056123082MaRDI QIDQ3117927

Adnan Tercan, Gary F. Birkenmeier, Evrim Akalan

Publication date: 1 March 2012

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498811005178

zbMATH Keywords

Dedekind domainpure submodule\(\mathcal G\)-extending module

Mathematics Subject Classification ID

Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Principal ideal rings (13F10) Structure, classification theorems for modules and ideals in commutative rings (13C05) Other classes of modules and ideals in associative algebras (16D80) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Torsion modules and ideals in commutative rings (13C12)

Cites Work

• On the free product of associative rings
• On injective and quasi-continuous modules
• Goldie Extending Modules
• Unnamed Item

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