What does potential mutualization mean in reference to an unemployment claim from a previous employer located in Ohio.

I quit an employer and they accepted my notice to go to a better paying job (only parttime at new employer) due to the economy my hours as a parttime employee was reduced. I was told by the unemployment office that if I only worked 16 hours or less for a week and was able to file unemployment benefits to supplement my income. When I applied for unemployment benefits, I was told the company responded "a potential mutualization", what does that mean to my unemployment benefits. I am an Ohio resident.