Publisher Alfred Nutt published A Boy's Will in 1913 and North of Boston in 1914. is a fragment

Not a fragment.

Explanation:

Group of words which apparently look like sentences but actually are not are called fragments or sentence fragments.

These fragments need at least one independent clause to become a complete sentence. An independent clause is a group of words which consists of both a subject and a verb and can stand on its own.

'Publisher Alfred Nutt published A Boy's Will in 1913 and North of Boston in 1914.' is not a fragment but an independent clause because it has a subject and verb and makes complete sense on its own.