%0 Journal Article %T Yet another solution to the Burnside problem for matrix semigroups %A Benjamin Steinberg %J Mathematics %D 2008 %I arXiv %X We use the kernel category to give a finiteness condition for semigroups. As a consequence we provide yet another proof that finitely generated periodic semigroups of matrices are finite. %U http://arxiv.org/abs/0811.2541v1