Rugose is the technical term meaning that a surface is wrinkled. Corrugate (or corrugated) is a synonym. Rugulose means finely or slightly wrinkled; as used in this website, it refers to the sort of slight puckering that paper exhibits when it has been wetted and then left to dry
A reticulate surface has ridges (or sometimes just color changes) that mark out rectangles on the surface. Actually, any kind of clear marking out of cells of some shape will do; the markings on the stem in the picture are just regular enough to be considered reticulations. In some cases, the ridges that form the pattern are called a reticulum. Something that's called a reticulum is often not as regular as reticulations
Another special kind of wrinkle in the cap is the striation. Often, the top surface of the pileus will collapse against the gills (usually at the margin), producing a zone of short, parallel ridges that are called striations.
Sometimes the capmargin is translucent, and the gills can be seen through it, creating a pattern that looks striate even though the surface of the cap is smooth. Such a cap is said to be translucent-striate.
If the stalk has similar ridges running from top to bottom, it is also called striate. Most sources call this longitudinally striate, to indicate that the ridges run along the length of the stem. But that's pretty much the only type of striations a stem has, so in this website I just leave the "longitudinally" out.
