This was a novel (rather short if I recall correctly) that I read in the 1990s. For the life of me I can't recall author and title, but I would like to read it again. (It might have been a longish short story in a collection, but I think it was a book on its own.)
In a not so far future, people can record their persona (soul) electronically. (The recording is refreshed every few months to keep it up to date.) After they die, this "soul-recording" can be implanted in someone else as a secondary persona. The new host gets access to all knowledge and experience, and for the deceased it is a sort-of afterlife/immortality. The process (recording and implant) is very expensive and thus only available for the wealthy. Having implanted persona becomes a status-symbol. There are dangers: A mismatched between host and implanted persona can lead to schizophrenia or even the implant attempting to take over the host.
As I recall, a powerful business-tycoon (his name is Paul I believe) dies and a struggle erupts between his nephew (who inherited the business) and the biggest competitor. Both want the implant of Paul. If I recall correctly the competitor gets the implant, but the family business is saved by a female family-member (daughter of the nephew? I'm not sure) who manages to get an (illegal) implant of an older backup of Paul.