Continuous module explained

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]

Notes and References

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