Decide to have only win-win solutions. Set guidelines/ground rules to discuss the issue-no blaming or fault finding, talk only of your feelings and what you know...not what you ASSUME TO KNOW. Once discussed and resolved it doesn't come up again and it is not thrown back in each other's face.
Remember it takes two to argue. Let your boyfriend know that you aren't going to keep arguing with him. Someone got to be the stronger person.
Tell him you've had enough arguing and that you're not going to put up with it.