Rotate in editor

If I rotate, let’s say a simple cube, and try to move it afterwards the cube is moved relative to its new rotation. This is great - for some cases. Is there a way I can avoid this, so I’m still able to move the object along the “global” axes?

Basically i want to know if I can rotate an object, without affecting that objects transformation matrix (I think that’s the word), or if I’m able to somehow reset this matrix in order to realign it with the global axes (up/down, left/right, back/forth).

I hope I’ve made my question clear, despite of my English and (lack of) knowledge of the proper terms.

In advance: Thanks.

Click on the Local/Global button (next to the Pivot button).