In theory, your former partner could claim that they are entitled to a share of your company even if they have no interest in it. However, the courts tend to be reluctant to disrupt a business where there is another option, such as to offset the value.
Ultimately, whatever settlement you come to must be fair to both you and your former partner. If you need your company to be left untouched, this may mean agreeing to increased spousal maintenance payments or allowing your former partner to keep a greater share of the assets.