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Hey I have this question from Universal Algebra texts where you can see groups, rings, lattices and other structures as Universal Algebras, but I still don't have clear how vector spaces can be viewed in this way (taking into account that all the operations in an Universal Algebra are internal: i.e, from $A^n$ to $A$)



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This would fit better on math.stackexchange.com –  Andrew Stacey Apr 3 '11 at 21:09
Very briefly, there are two approaches. One is to fix a ground field and introduce one unary operation for each scalar. The other is to work in a two-sorted theory where one of the sorts is to be interpreted as a ground field and the other is to be interpreted as a vector space over the ground field. If this is not enough of a hint, try over at math.stackexchange.com as Andrew suggests. –  Todd Trimble Apr 3 '11 at 21:23
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closed as off topic by Andrew Stacey, Mariano Suárez-Alvarez, Andres Caicedo, Mark Sapir, Simon Thomas Apr 3 '11 at 23:56

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