Yes you can apply for master of dental sciences in Karnataka after completing your Bachelor of dental sciences in Andhra Pradesh. But you need to appear for an entrance examination such as NEET MDS which is accepted by most of the colleges and universities of Karnataka for providing admission to master of dental sciences. Mentioned below are the name of some popular institutions offering MDS in Karnataka:

1. MS Ramaiya University of applied sciences
2. Manipal college of dental sciences
3. AB Shetty memorial institute of dental sciences
4. SDM College of dental sciences

Read more:

https://www.google.com/url?sa=t&source=web&rct=j&url=https://medicine.careers360.com/colleges/list-of-mds-colleges-in-karnataka&ved=2ahUKEwj7vdaul_D4AhXh7nMBHf9PAtsQFnoECAgQAQ&usg=AOvVaw3xSp8XX4kvTr9WrY0HE0rq