Compositio Mathematica

Cancellation Theorems for Projective Modules over a Two-Dimensional Ring and its Polynomial Extensions

S. M. Bhatwadekar a1
a1 School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai-400 005, India. E-mail:

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We show that over polynomial extensions of normal affine domains of dimension two over perfect fields (char. [not equal] 2) of cohomological dimension [less-than-or-eq, slant] 1, all finitely generated projective modules are cancellative, thus answering a question of Weibel affirmatively in the case of polynomial extensions.

Key Words: projective modules; polynomial extensions; symplectic cancellation.