  We are concerned with the question of well-posedness of stochastic three
dimensional incompressible Euler equations. In particular, we introduce a novel
class of dissipative solutions and show that (i) existence; (ii) weak--strong
uniqueness; (iii) non-uniqueness in law; (iv) existence of a strong Markov
solution; (v) non-uniqueness of strong Markov solutions; all hold true within
this class. Moreover, as a byproduct of (iii) we obtain existence and
non-uniqueness of probabilistically strong and analytically weak solutions
defined up to a stopping time and satisfying an energy inequality.
