J. Berson, A. Van-den-essen, and D. Wright, Stable tameness of two-dimensional polynomial automorphisms over a regular ring, preprint: arXiv:0707.3151v8 [math.AC], submitted to J, 2009.

P. M. Cohn, Bezout rings and their subrings, Proc. Cambridge Philos, pp.251-264, 1968.
DOI : 10.1017/S0305004100042791

D. Eisenbud and C. Algebra, With a view toward algebraic geometry, Graduate Texts in Mathematics, vol.150, 1995.

A. Van-den-essen, Polynomial Automorphisms and the Jacobian Conjecture, Progress in Mathematics 190 (329 pp), 2000.
DOI : 10.2307/3621827

J. Furter, On the Variety of Automorphisms of the Affine Plane, Journal of Algebra, vol.195, issue.2, pp.604-623, 1997.
DOI : 10.1006/jabr.1997.7054

R. Gilmer, A note on generating sets for invertible ideals, Proc. Amer, pp.426-427, 1969.
DOI : 10.1090/S0002-9939-1969-0241399-1

R. Hartshorne, Algebraic geometry, Graduate Texts in Mathematics, vol.52, 1977.
DOI : 10.1007/978-1-4757-3849-0

W. Van-der-kulk, On polynomial rings in two variables, Nieuw Arch, Wiskunde, vol.1, issue.3, pp.33-41, 1953.

H. Matsumura, Commutative ring theory, translated from the Japanese by, Cambridge Studies in Advanced Mathematics, vol.8, 1986.

D. Mumford, J. Fogarty, and F. Kirwan, Geometric invariant theory, Ergebnisse der Mathematik und ihrer Grenzgebiete (2) [Results in Mathematics and Related Areas, 1994.

P. Ivan, U. U. Shestakov, and . Umirbaev, The tame and the wild automorphisms of polynomial rings in three variables, J. Amer. Math. Soc, vol.17, issue.1, pp.197-227, 2004.

R. Wiegand, Cancellation over commutative rings of dimension one and two, Journal of Algebra, vol.88, issue.2, pp.438-459, 1984.
DOI : 10.1016/0021-8693(84)90077-2

. Dijon-cedex and E. France, Dubouloz@u-bourgogne Avenue Michel Crépeau, 17000 La Rochelle, France E-mail address: jpfurter@univ-lr, 28759.