Republicans dominate both the Ohio senate and house. And they hope to give final approval this week to a bill that aims to curve duplicate lawsuits by workers over-on-the-job asbestos exposure. Backers say the measure will prevent double dipping by injured workers, but critics say Ohio will be the first state in the country to pass such a restriction and it could block legitimate claims.

Also up for final action this week, a bill that already has passed both chambers, but with different details. That's a measure revamping taxes on financial institutions. 

Last week, the Ohio house, by a 2-1 margin, passed a bill cracking down on internet cafes and sweepstakes. Backers call the storefronts illegal gambling and for profit businesses that are going essentially untaxed. But several key senators are hesitant to add their approval. They're worried that proposed new limits on prizes would put most of the 800 operations out of business and result in job loss. So, it's unclear if the internet cafe crackdown will pass or die this week.