CGT on death

My mother died recently and left two houses. Both of them would of course have gone up substantially in value since they were bought and one has had substantial improvements made to it. It seems from the Revenue Commissioners website that there is no issue of capital gains tax arising on the second i.e. non-PPR one and effectively that capital gains tax liabilities die with the person. Am I understanding this correctly? Comments appreciated.

Yes - such capital gains on the death of the asset holder are not taxable and the acquisition price of the asset for the inheritors is assumed to be the market value at the time of death.

Many thanks for that Clubman - its what I was thinking but I needed someone to confirm.