Should there be a difference in wages between a part-time employee and a full-time employee doing the same job?

In general, there should be little to no difference in pay between part-time and full-time employees, particularly when the employees are performing the same job with the same skill sets.
It is possible for a full-time employee to make more money if the construction executive has more experience than a part-time employee. And often, construction employers expect more from full-time employees than they expect from employees who work less than 40 hours a week. Even if a full-time employee is paid more money, it is typically based on the criteria mentioned above.
Ask your HR department if your construction employer values part-time and full-time employees the same. If your construction employer does pay your part-time employees differently, ask your construction employer to explain the rationale