Balanced module
From Encyclopedia of Mathematics
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
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