%0 Journal Article %T Toda brackets and cup-one squares for ring spectra %A Hans-Joachim Baues %A Fernando Muro %J Mathematics %D 2006 %I arXiv %R 10.1080/00927870802241188 %X In this paper we prove the laws of Toda brackets on the homotopy groups of a connective ring spectrum and the laws of the cup-one square in the homotopy groups of a commutative connective ring spectrum. %U http://arxiv.org/abs/math/0612450v1