How to transfer annotation from cell subset to original object?

Hi,

I can not find an answer to this anywhere, so I create a post, hope you can help me.

I am a beginner in bioinformatics and single cell analysis.

I have a large dataset of immune cells from two types of tissues that is difficult to annotate on the full object, so I subsetted to groups of cells (T-cells, B-cells, Myeloid cells etc.) and recluster and then annotate these. But I want to show the annotations on the full dataset. How do I transfer the annotations I have made back to the un-subsetted object?

Thank you!