See Filing the Final Return, near the bottom of the article. The article has some other information you may find useful in these times. I am sorry for your loss.
If an executor or administrator is involved, he or she must sign the return for the decedent. When a joint return is filed, the spouse must also sign. When there is no executor or administrator, whoever is responsible for filing the return should sign the return and note that he or she is signing "on behalf of the decedent." If a joint return is filed by the surviving spouse alone, he or she should sign the return and write "filing as surviving spouse" in the space for the other spouse's signature.
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