When no will is left by a deceased person they are said to have died intestate. Dying intestate means no will is left setting out what is to be done with the deceased’s property. Who is entitled to take their estate?
There is no requirement that an executor must accept the executorship role, even if it was agreed to do so. But relinquishing executorship should be done as soon as practical if you don’t wish to act and have not dealt with the estate. You can resign your appointment as executor by renouncing your right to probate of the deceased’s will, that is you renounce probate.