Step 1: Understand the treatment of the deceased partner's account.
The deceased partner's executor's account is created to settle the financial affairs of the deceased partner, and it is treated as a liability of the partnership firm.
Step 2: Evaluate the options.
- Debit: Correct, as the account of the deceased partner's executor represents a liability.
- Credit: Does not apply in this case, as the balance would not be shown on the credit side.
Step 3: Conclusion.
Therefore, the deceased partner's executor's account is shown on the Debit side of the balance sheet.
Final Answer: \[ \boxed{Debit} \]