Continuous module

In mathematics, a continuous module is a module M such that every submodule of M is essential in a direct summand and every submodule of M isomorphic to a direct summand is itself a direct summand. The endomorphism ring of a continuous module is a clean ring.[1]


  1. Camillo, V.P.; Khurana, D.; Lam, T.Y.; Nicholson, W.K.; Zhou, Y. (2006). "Continuous modules are clean". Journal of Algebra. 304: 94–111. doi:10.1016/j.jalgebra.2006.06.032.
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