Examples of scalar conserved currents are presented for trigonometric, hype
rbolic and elliptic versions of the Hubbard model with non-nearest neighbou
r variable range hopping. They support for the first time the hypothesis ab
out the integrability of the elliptic version. The two-electron wave functi
ons are constructed in an explicit form. (C) 2001 Elsevier Science B.V. All
rights reserved.