# how are vector spaces viewed as universal algebras? [closed]

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 $A$)

Thanks

Dan

-
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
add comment

## closed as off topic by Andrew Stacey, Mariano Suárez-Alvarez♦, Andres Caicedo, Mark Sapir, Simon ThomasApr 3 '11 at 23:56

Questions on MathOverflow are expected to relate to research level mathematics within the scope defined by the community. Consider editing the question or leaving comments for improvement if you believe the question can be reworded to fit within the scope. Read more about reopening questions here.If this question can be reworded to fit the rules in the help center, please edit the question.