Stably free module: Difference between revisions
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In [[mathematics]], a '''stably free module''' is a [[module (mathematics)|module]] which is close to being [[free module|free]]. | In [[mathematics]], a '''stably free module''' is a [[module (mathematics)|module]] which is close to being [[free module|free]]. | ||
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==References== | ==References== | ||
* {{cite book | author=Serge Lang | authorlink=Serge Lang | title=Algebra | edition=3rd ed. | publisher=[[Addison-Wesley]] | year=1993 | isbn=0-201-55540-9 | page=840}} | * {{cite book | author=Serge Lang | authorlink=Serge Lang | title=Algebra | edition=3rd ed. | publisher=[[Addison-Wesley]] | year=1993 | isbn=0-201-55540-9 | page=840}} | ||
Revision as of 14:44, 28 October 2008
In mathematics, a stably free module is a module which is close to being free.
Definition
A module M over a ring R is stably free if there exist free modules F and G over R such that
Properties
- A module is stably free if and only if it possesses a finite free resolution.
See also
References
- Serge Lang (1993). Algebra, 3rd ed.. Addison-Wesley. ISBN 0-201-55540-9.