There's a lot of 90% correct info in this thread so I figured I'd chime in.
DOM is seamless tube and does not get welded. You are correct about HREW (Hot Rolled Electric Welded) however in that it is flat plate that gets rolled and welded. Because of this the wall thickness can vary and is generally not recommended for structural applications. Like mentioned before however, if used correctly it can still make for a good cage. Just don't go looking to pass tech when it comes time to start racing.
DOM (Drawn Over Mandrel) starts out as a cold drawn solid bar. While still in the molten state, it then has a mandrel pushed through the center forming it into a tube. There is no welding involved in the mfg of DOM tubing.
You can find video's of the process on youtube as well.
I'm sorry Boostwerks, but that is very incorrect information. DOM is NOT a seamless tube. DOM starts as a coiled sheet and is cut to length and electric resistance welded together, then the seam is "punched out" after the fact.
Go out to your garage (or shop or whatever) and grab a piece of DOM. Look on the inside (or the outside if there is no finish on it) and look for a strip that is darker than the rest. That's the welded seam. If it doesn't have that seam, it's not DOM.
DOM does NOT start as a cold drawn rod. That's for true seamless tube and DOM is definitely not seamless.
Try something other than YouTube next time. Google maybe?