name of a sorting algorithm

[Jabba Laci]

Hi,

Could someone please tell me what the following sorting algorithm is called?

Let an array contain the elements a_1, a_2, ..., a_N. Then:

for i = 1 to N-1:
    for j = i+1 to N:
        if a_j < a_i then swap(a_j, a_i)

It's so simple that it's not mentioned anywhere. I guess it's called
"selection sort" but I'm not sure. The minimum selection sort is an
improvement of this one.

Thanks,

Laszlo