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| = ARCHIVED WIKISPACES DISCUSSION BELOW =
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| '''All discussion below is archived from the Wikispaces export in its original unaltered form.'''
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| == Abelian groups vs modules ==
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| Normally you'd call these abelian groups, or possibly Z-modules, because just calling them modules suggests things which aren't true. I suggest changing this to "abelian groups", which is what it would normally be called and what I've been calling it.
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| - '''genewardsmith''' July 31, 2012, 09:09:28 AM UTC-0700
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| OK, but what's the "dual group" of an abelian group? Is it well-defined?
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| - '''mbattaglia1''' July 31, 2012, 09:15:56 AM UTC-0700
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| And what's the terminology I should use for the fundamental "spaces" in matrices then?
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| I see there's some precedence for talking about the "column module", "row module", "null module" of an integer matrix acting as a linear transformation on a Z-module, instead of column space, row space, etc. Would I call it the "column group" and "row group"? Would anyone know what I mean?
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| - '''mbattaglia1''' July 31, 2012, 09:18:30 AM UTC-0700
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| Note also I explicitly spelled it out here at the top
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| http://xenharmonic.wikispaces.com/Temperament+Mapping+Matrices+%28M-maps%29
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| But I'm curious what things I wrote aren't true of modules in general and only of Z-modules.
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| - '''mbattaglia1''' July 31, 2012, 09:26:31 AM UTC-0700
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