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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 == | | == See also link to application of this idea == |
| 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
| | There's an article called [[Cross-domain temperament merging]] which applies the ideas discussed in this article, and I'd like to add a See Also section at the bottom to link to it. But I can't because the page is locked to wiki admin editing only. If someone could please take care of this for me, I would appreciate it. Thanks --[[User:Cmloegcmluin|Cmloegcmluin]] ([[User talk:Cmloegcmluin|talk]]) 19:46, 11 December 2022 (UTC) |
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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
| | I'm just posting here as a reminder to admins about this request, in case they all missed it the first time. --[[User:Cmloegcmluin|Cmloegcmluin]] ([[User talk:Cmloegcmluin|talk]]) 22:58, 6 May 2023 (UTC) |
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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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