Article
Bases for Projective modules in An(k)
Author/s | Gago Vargas, Manuel Jesús |
Department | Universidad de Sevilla. Departamento de Álgebra |
Publication Date | 2003-12 |
Deposit Date | 2015-03-27 |
Published in |
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Abstract | 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. ... 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 $\rk(M) \ge 2$ we give a procedure to find a basis. |
Funding agencies | Ministerio de Ciencia y Tecnología (MCYT). España Junta de Andalucía |
Citation | Gago Vargas, M.J. (2003). Bases for Projective modules in An(k). Journal of Symbolic Computation, 36 (6), 845-853. |
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