Namespaces
Variants
Actions

Balanced module

From Encyclopedia of Mathematics
Revision as of 17:25, 7 February 2011 by 127.0.0.1 (talk) (Importing text file)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to: navigation, search

A module such that the natural ring homomorphism , where is regarded as a right module over , defined by for any and , is surjective. A module over a ring is a generator of the category of -modules if and only if is balanced as an R-module, projective and finitely generated as an -module.

References

[1] C. Faith, "Algebra: rings, modules and categories" , 1–2 , Springer (1973–1976)
How to Cite This Entry:
Balanced module. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Balanced_module&oldid=42045
This article was adapted from an original article by L.A. Skornyakov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article