Betti Numbers of Modules of Exponent Two over Regular Local Rings Original Research Article

Let (R, m, K) be a regular local ring of dimensionnand letMbe a finite length module overR. This paper gives an affirmative answer to Horrocksʹ questions whenm2M = 0, that is, in this case the rank of theith syzygy ofMis at least[formula]and theith Betti number ofMis at least[formula].