Yes, it is. ), where "my name" is the subject and "is" is the verb. My name is Mr.
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Yes, it is. An independent clause has one subject-verb agreement (in your case, "...my name is...), where "my name" is the subject and "is" is the verb.
My name is Mr. Smith, and his name is Mr. Johnson. (That has two subject-verb relationships in two independent clauses.)
While my name is Mr. Smith, my wife's name is Mrs. Johnson. (That is one dependent clause and one independent