A man and a woman stabbed each other during a fight shortly after 11 p.m. Tuesday in Dorchester’s Lower Mills neighborhood, Boston police said. The stabbings occurred at 11:11 p.m. in the 2200 block of Dorchester Avenue, according to police. The man, 54, was taken to Brigham and Women’s Hospital, and the woman, 37, was taken to Boston Medical Center, police said. Spokesman David Estrada said they were both in stable condition Wednesday night. The pair face charges of assault and battery with a dangerous weapon, Estrada said.Globe Correspondent Nicholas Jacques contributed to this report. Meghan Irons can be reached at firstname.lastname@example.org. Follow her on Twitter @meghanirons.