The two-dimensional(2D) t-t'-Hubbard model is studied within the slave
-boson (SE) theory. At half-filling, a paramagnetic to antiferromagnet
ic phase transition of first order at a finite critical interaction st
rength U-c(t'/t) is found. The dependences on U/t and t'/t of the subl
attice magnetization and of the local magnetic moment are calculated.
Our results reasonably agree with recent (Projector) Quantum Monte Car
lo data. The SE ground-state phase diagram reveals a t'-induced electr
on-hole asymmetry, and, depending on the ratio t'/t, the antiferromagn
etic or ferromagnetic phases are stable down to Ci = 0 at a critical h
ole doping.