Women's specific snowboards are typically narrower to go with the smaller size, but they may be even narrower to acomodate womens smaller feet (a 146 woman snowboard may be narrower than a 146 man snowboard), and just like mans boards there are wide versions (ex: 146W).
Frequent mistake to avoid: It happens a lot for people to think "I have big feet" and to go for a wide board that they don't really need or want, because: 1- they're also tall and their normal board size already accommodates their feet. 2- they're beginners/intermediates who wont experience any toe/hell drag unless their toes/hells are way out of the board (like 5cm or more), and they may not notice it but the unnecessary extra width will make it harder to roll from one edge to the other in the first turns.
Will I benefit from a wider or from a narrower board instead of one with my standard width?If you want to carve hard on a normal snowboard with soft boots, ride powder, or if you're a bit overweight you may benefit from some extra width (boots ending 0,5cm before edges or 0,5cm after edges). Otherwise you may be happier with a thinner snowboard (boots out of the edges by 0,5cm to 1,5cm), the thinnest possible without causing toe/heel drag (boots sticking out the edges 1,5cm), specially if you're more of a park rat.
Why? How will more or less width than the standard width influence my riding?A smaller width (with 0,5cm to 1,5cm of our toes/heels sticking out) means a easier turn initiation, a quicker edge change, a snappier feeling, a more playful ride, at the cost of risking some toe/heel drag in sharper turns.
A larger width (the edges wider than toes/heels by 1,5cm max. each side) is welcome to ride powder (more floating capacity) and to carve hard jumping from arc to arc, or from arc to whatever! (no toe/heel drag at all, ever), and it may feel steadier at higher speeds and help you keep your line, at the cost of slower edge changes and more energy demanding turn initiations.