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• Addition of vector spaces
  |rowspan="3" | [[External direct sum]] | [[Sum of vector spaces]]
  4 KB (804 words) - 18:02, 18 March 2016
• External direct sum
  ...th> would be really nasty looking!</ref>) we define the '''external direct sum''' of {{M|1=(V_i)_{i=1}^n}}, which we'll call the vector space {{M|V}}, as ...f you see ''direct sum'' you should default to this, the ''external direct sum'' (for more see the [[Addition of vector spaces]] page)
  3 KB (613 words) - 13:12, 9 June 2015
• Notes:Vector space operations
  | Sum | Given {{M|U}}, {{M|W}} subspaces of {{M|V}} we define the sum of {{M|U+V}} to be the ''subset'' of {{M|V}} consisting of all sums {{M|u+w
  3 KB (489 words) - 20:27, 1 June 2015
• Notes:Advanced Linear Algebra - Roman/Chapter 1
  ====Definition: Sum==== Let {{M|S}}, {{M|T}} be subspaces of a [[vector space]] {{M|V}}. Then the ''sum'', {{M|S+T}} is defined by:
  8 KB (1,463 words) - 14:35, 13 August 2016
• Direct product module
  ==[[Characteristic property of the direct product module]]== {{:Characteristic property of the direct product module/Statement}}
  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 ...is the following [[submodule]] 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><!-- ...] ([[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