Normally when I describe a vector space, I describe it in the following format.
$<$Set$>$ is a vector-space over $<$Field$>$.
Lately while I was reading, I ran into another way of saying.
$K$-vector space $R$.
How does my description translate into the way that I'm not familiar with.
Any insight is appreciated.
A "$K$-vector space" is a vector space over the field $K$.
After a bit of googling I found this term defined in the notes here and also in chapter 1 of the notes Basic Linear Algebra: An Exercise Approach by Gabriel Nagy, which can be found online here: https://www.math.ksu.edu/~nagy/lin-alg/notes.pdf