Before we get too far into this, let's point out that this rumor is coming from an Israeli newspaper, so it is easy enough for a company to disavow stories like these. With that disclaimer out of the way: Amazon may be looking into buying Texas Instrument's OMAP business. As we already know, TI has expressed interest in getting out of the mobile game. Not to say they'll stop making processors, but that the focus would be less on tablets and phones, and more on embedded SoCs for a variety of applications (such as automotive, vision, and robotics).
Of course, Amazon uses TI's mobile processors for its Kindle Fire line, which runs a very heavily modified version of Android.