Talk:Free module

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This article incorporates material from PlanetMath, which is licensed under the GFDL.

I commented in this article (words to the effect) that for a module with an infinite free basis, every element is a convergent series of multiples of the basis elements.

This has recently been changed to state that it is a finite sum of multiples of the the basis elements.

Is this change correct?

-- Onebyone 23:56, 28 May 2004 (UTC)

Well, I guess we could define a topology on the module, but unless that is the case, we can't define convergence. Phys 05:34, 5 Dec 2004 (UTC)

The change is correct, even for topological modules. --129.70.14.127 00:03, 8 November 2007 (UTC)

[edit] Definition

What is a "free basis"? Shouldn't it just be "basis"?--129.70.14.127 23:58, 7 November 2007 (UTC)