Jump to content

Continuous module

Add links
From Wikipedia, the free encyclopedia
This is an old revision of this page, as edited by Citation bot (talk | contribs) at 10:15, 14 March 2019 (Add: year, journal. Removed parameters. | You can use this bot yourself. Report bugs here. | User-activated.). The present address (URL) is a permanent link to this revision, which may differ significantly from the current revision.

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. (2006). "Continuous modules are clean". Journal of Algebra. 304: 94–111. doi:10.1016/j.jalgebra.2006.06.032. Retrieved 25 April 2016.
Stub icon

This algebra-related article is a stub. You can help Wikipedia by expanding it.

Retrieved from "https://en.wikipedia.org/w/index.php?title=Continuous_module&oldid=887710434"