Radical of a module

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Let R be a ring and M a left R-module. A submodule N of M is called cosimple or maximal if M / N is a simple module. The radical of the module M is the intersection of all cosimple submodules of M,

[edit] See also

• Socle (mathematics)
• Jacobson radical

[edit] References

Anderson, Frank Wylie & Fuller, Kent R. (1992), Rings and Categories of Modules, Berlin, New York: Springer-Verlag, ISBN 978-0-387-97845-1