This is an announcement for the paper "A note on lineability" by G. Botelho, D. Diniz, D. Pellegrino and E. Teixeira. Abstract: In this note we answer a question concerning lineability of the set of non-absolutely summing operators. Archive classification: math.FA Mathematics Subject Classification: 47B10, 47B37, Remarks: 4 pages The source file(s), note-lineability13Maio2009.tex: 11166 bytes, is(are) stored in gzipped form as 0905.2677.gz with size 4kb. The corresponding postcript file has gzipped size 50kb. Submitted from: dmpellegrino@gmail.com The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/0905.2677 or http://arXiv.org/abs/0905.2677 or by email in unzipped form by transmitting an empty message with subject line uget 0905.2677 or in gzipped form by using subject line get 0905.2677 to: math@arXiv.org.