This is an announcement for the paper "Absolutely \gamma-summing multilinear operators" by Diana Marcela Serrano-Rodriguez. Abstract: In this paper we introduce an abstract approach to the notion of absolutely summing multilinear operators. We show that several previous results on different contexts (absolutely summing, almost summing, Cohen summing) are particular cases of our general results. Archive classification: math.FA Submitted from: dmserrano0@gmail.com The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1305.4626 or http://arXiv.org/abs/1305.4626