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I recently posted a talk on YouTube on Operational Transform / Collaborative Editing via Category Theory:
https://www.youtube.com/playlist?list=PLZiHDWjqH6HPveBHtOEzZj2tQibcKvW-F
Slides in PDF:
https://drive.google.com/drive/folders/1qq0fVJor4hMNo2xLuonS53H6yKl4VHtx
I created a topic under #theory: concurrency so we can discuss it. Thanks !
BTW, the talk contains a definition of commutative category.