Mathematics – Rings and Algebras
Scientific paper
2001-06-27
Proc. AMS, 129 No. 12 (2001), 3447-3452
Mathematics
Rings and Algebras
9 pages
Scientific paper
Let k be a field and n > 0. There exists a DG k-module (V,d) and various
approximations d + t d_1 + t^2 d_2 + ... + t^n d_n to a differential on V[[t]],
one of which is a non-trivial deformation, another is obstructed, and another
is unobstructed at order n. The analogous problem in the category of k-algebras
in characteristic zero remains a long-standing open question.
Armstrong Trina
Umble Ron
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