I have three rescued dogs, and I consider myself to be Vegan. Lately, my local co-op has started selling nutritionally complete Vegan dog food, so my dogs are now Vegan. But I still considered myself Vegan even when the dogs weren't.
(By the way, I know the whole Vegan Dog thing is a touchy subject, but my dogs have never been healthier, FWIW.)
My dogs are my children. I feed them, bathe them, take them out on long walks, let them have the run of the house and generally love them like crazy.
I suppose a case could be made that pet ownership is not Vegan. After all, since owning animals is both legal and socially acceptable, the irresponsible, the ignorant and the cruel get to participate in animal ownership too, leading to much suffering, sorrow and death. But, on the other hand, I think looking into your dog's eyes and having the epiphany that all animals have the same right to peace and comfort as your dog probably leads a lot of people toward the A/R movement and becoming a veg*n. I sometimes think that being TOO separate from the animals can be nearly as bad in the long run as being tied into the culture of animal use. After all, how can you truly learn empathy for your fellow earthlings if you don't make friends with some of them?