Trying to own DSN(A) fails and so does DSN(A*).
Example:
TSS ADD(acid) DSN(A)
TSS0214E INVALID DATASET NAME/PREFIX TSS0301I ADD FUNCTION FAILED, RETURN CODE = 4
or
TSS ADD(acid) DSN(A*) TSS0214E INVALID DATASET NAME/PREFIX TSS0301I ADD FUNCTION FAILED, RETURN CODE = 4
For resource classes that support masking, any ADD command must specify: