The phrase "to register the breed" means officially recording and documenting a specific type of animal with a breed association. This helps keep track of the animal's lineage and characteristics. Full definition
Push mandatory spay / neuter - any dogs that were not registered breeding dogs would fall into this requirement. (thedogplace.org)
Any pure bred poodle is going to be a bit expensive, though not necessarily much greater than other registered breed. (smallbreeddogs.net)
Closed register breeding is very effect for retaining good qualities in some of our favorite breeds, but unfortunately it also makes them more susceptible to many inherited diseases. (thehappypuppysite.com)