Minimum between column value and global value in R

Question

I would like to have the minimum value between a fixed value and a calculation from a column

For example i have the following data :

beta = data.frame(A = c(1,2,3,4,5,6,7,8,9))

And i would like to know the minimum between A/2 and the value 3

My problem is when i use the min function in R, he takes the minimum of all the column A instead of calculating line by line. So when i create beta$min = min(beta$A/2, 3), i get this:

> beta
  A min
1 1 0.5
2 2 0.5
3 3 0.5
4 4 0.5
5 5 0.5
6 6 0.5
7 7 0.5
8 8 0.5
9 9 0.5

So he always take the minimum of the column A (1).. how could i do this line by line ?

Thanks for reading