Asian Journal of Algebra1994-540x2077-2025Asian Network for Scientific Information10.3923/aja.2008.1.9El-GhoulM. Al-ShamiriM.M. 1200811In 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.]]>El-Ghoul, M.,19851985El-Ghoul, M.,19953041454148El-Ghoul, M.,19983717El-Ghoul, M.,20011210191023El-Ghoul, M., A.I. Elrokh and M.M. Al-Shamiri,20062368372El-Ghoul, M., A.I. Elrokh and M.M. Al-Shamiri,20062006Gemein, B.,2001114117140Kauffman, L.K.,19911991Massay, W.S.,19671967Munkers, J.R.,1975A First Course,Murasugi, K.,19961996Murasugi, K. and B.I. Kurpita,19991999