Zoran Skoda split equalizer

A fork

is split if it can be embedded into a diagram

in which $s e = id_A$, $t g = id_B$ and $t f = e s$ (we used here Leibniz order for composition of morphisms).

Surely, $f$ and $g$ can be interchanged in the definition (a matter of unimportant convention).

Every split fork is an absolute equalizer, but not conversely. See also split coequalizer.