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• External direct sum of modules
  #REDIRECT [[External direct sum module]]
  86 B (10 words) - 23:22, 19 October 2016

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• Module
  {{Stub page|grade=A*|msg=Important for the Rings and Modules. Demote when fleshed out}} ...action, {{M|[:R\times M\rightarrow M]}} given by {{M|[:(r,x)\mapsto rx]}} of {{M|R}} on {{M|M}}, called the "left {{M|R}}-module structure" on {{M|M}}
  1 KB (246 words) - 22:40, 19 October 2016
• Direct product module
  ...d_{\alpha\in I}M_\alpha}} that is a [[categorical product]] of the members of the family {{M|(M_\alpha)_{\alpha\in I} }}{{rAAPAG}}: ...alternate construction is that {{M|\prod_{\alpha\in I}M_\alpha}} consists of [[mappings]], {{M|f:I\rightarrow\bigcup_{\alpha\in I}M_\alpha}} where {{M|\
  3 KB (431 words) - 22:19, 19 October 2016
• External direct sum module
  : See [[Direct sum module]] for advice on using the internal or external form ...dule]] of {{M|\prod_{\alpha\in I}M_\alpha}} (the [[direct product module]] of the family {{M|(M_\alpha)_{\alpha\in I} }}){{rAAPAG}}:
  2 KB (278 words) - 14:05, 20 October 2016
• Direct sum module
  There are two direct sums ([[categorical coproducts]] of modules): # [[External direct sum module]] - which we shall mean by default
  415 B (58 words) - 13:25, 20 October 2016
• Characteristic property of the direct sum module/Statement
  ...ht;margin:0px;margin-left:0.2em;">{{:Characteristic property of the direct sum module/Statement/Picture}}</div><!-- ...direct sum]] ([[External direct sum module|external]] or [[Internal direct sum module|internal]]). Let {{M|M}} be another {{M|R}}-module. Then{{rAAPAG}}:
  1 KB (152 words) - 14:02, 20 October 2016