Charlie Sheen tweets about ex-wife's new book

(CBS) If Denise Richard's new autobiography becomes a bestseller, she may have ex-husband Charlie Sheen to thank.

Sheen not only praised the book, "The Real Girl Next Door" on Twitter this weekend, but he also tweeted to his more than 4.5 million followers a link to the Amazon listing for the book.

Pictures: Charlie Sheen
Pictures: Denise Richards

The former "Two and a Half Men" star tweeted "Your book rocks!!" to Richards and followed it up with this message: "Never thought I'd say it... but loved it D..! xo c"

Sheen and Richards, a 40-year-old movie actress and reality TV star, were married from 2002 to 2006 and have two daughters, Sam and Lola, together.

In TV interviews, Richards, a former Bond girl, admits she writes about Sheen but not in a negative manner. "The man I fell in love with is very compassionate, humble, has a wonderful heart," she said, "and the behavior that a lot of us saw in the last six months is not the person I met and fell in love with."

Richards, who recently adopted a baby daughter, also addresses her relationship with Richie Sambora and her mother's illness in the book.