Falkirk manager Peter Houston has signed goalkeeper Robbie Thomson from Hamilton on an 18-month deal just hours after shot-stopper departed the Bairns.
The 23-year-old has joined his hometown club and will compete with on loan Aberdeen keeper Danny Rodgers for the number one jersey.
Thomson, who began his career at Celtic, made one appearance in a four-month stint with Accies following spells at Queen of the South, Cowdenbeath, Rochdale, Airdrie and Stenhosuemuir.
Dogan moves in the opposite direction after making five outings in just under a year.
Houston, who has already said that he will have to move players out if he wants to make new signings this month, said: “Robbie is still a fairly young goalkeeper in terms of age, but has had good experience playing in the Championship.
“I have been impressed with the lad any time I have watched him and I am pleased to be able to secure his services.
“We have good competitiveness in the goalkeeping department as I know Robbie will have ambitions to secure that number one jersey.
“I look forward to watching his development continue with us here at Falkirk over the next 18 months.”
Thomson, who joined Accies after the New Douglas Park club were plunged into a goalkeeper crisis, said: “I’m really pleased to be here. It all happened really quickly and I’m looking forward to getting started.
“It’s a lively place, I know most of the coaching staff and the boys already. I’ve played with and against a few of them over recent years.
“I’ve always liked coming here as a player, but I look forward to being here as a Falkirk player this time.”