%0 Journal Article %T Retraction of Braid and Braid Group %A M.M. Al-Shamiri %A M. El-Ghoul %J Asian Journal of Algebra %D 2008 %I %X In this study we introduce the retraction and conditional retraction of braids and braid groups, we show the retraction of braid group is not necessary a braid group also a retraction of a singular braid is not necessary a singular braid. We prove that a retraction of a braid is a braid and every retraction of a braid group is a monoid also we prove that a retraction is a braid invariant. The limit of all types of retraction is described. %K Braid %K braid group %K retraction %U http://docsdrive.com/pdfs/ansinet/aja/2008/1-9.pdf