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]

References

  1. ↑ Camillo, V.P.; Khurana, D.; Lam, T.Y.; Nicholson, W.K.; Zhou, Y. "Continuous modules are clean". ScienceDirect. Retrieved 25 April 2016.
This article is issued from Wikipedia - version of the Monday, April 25, 2016. The text is available under the Creative Commons Attribution/Share Alike but additional terms may apply for the media files.