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Bases for projective modules in An(k)

✍ Scribed by Jesús Gago-Vargas

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
175 KB
Volume
36
Category
Article
ISSN
0747-7171

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✦ Synopsis

Let A n (k) be the Weyl algebra, with k a field of characteristic zero. It is known that every projective finitely generated left module is free or isomorphic to a left ideal. Let M be a left submodule of a free module. In this paper we give an algorithm to compute the projective dimension of M. If M is projective and rank(M) ≥ 2 we give a procedure to find a basis.

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