I know that Lulu and Gidget are two different breeds, but I'll still offer my experiences with them. They have never fought, but I believe Lulu shows dominance towards Gidget in the following way and Gidget allows it... if someone comes to the door or comes in or if we are giving out treats, Lulu will sort of run around in front of Gidget with her mouth open and cut her off like, "Back up Gidget, I'm first." Lulu will also do that if she thinks she needs to protect Gidget from something. But, Gidget thinks ALL antlers are hers and Lulu knows better than to touch them without the help of a human handing it to her and guarding her, and Lulu never test Gidget on this.
"Once you have had a wonderful dog, a life without one is a life diminished."Dean Koontz