I'm having trouble determining which is the correct punctuation of the sentence: The Dutch master Rembrandt is famous for his self-portrait. I think a comma should be after master and Rembrandt like this- The Dutch master, Rembrandt, is famous for his self-portrait.Is this right or wrong?

No commas needed.

http://owl.english.purdue.edu/owl/resource/596/1/

If you turned the words around, though, you'd need commas:
Rembrandt, the Dutch master, is famous...

Determining the correct punctuation in a sentence can sometimes be tricky. In the case of the sentence "The Dutch master Rembrandt is famous for his self-portrait," let's break it down to figure out the appropriate punctuation.

In this sentence, "The Dutch master" is used as an introductory phrase that gives us additional information about Rembrandt. Since this phrase is essential to the meaning of the sentence, it should not be separated by commas. Therefore, adding commas after "master" and "Rembrandt" would be incorrect.

The correct punctuation for this sentence is: "The Dutch master Rembrandt is famous for his self-portrait."

Remember, it's important to understand the function and structure of the sentence when determining the appropriate punctuation.