We compute the monoid V[L-K(E)] of isomorphism classes of finitely generated projective modules of a Leavitt path algebra over an arbitrary directed graph. Our result generalizes the result of Ara, Moreno and Pardo in which they computed the monoid V[L-K(E)] of a Leavitt path algebra over a countable row-finite directed graph.
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机译：我们在任意有向图上计算Leavitt路径代数的有限生成的投影模块的同构类的同构类的Monoid V [L-K（E）]。我们的结果概括了Ara，Moreno和Pardo的结果，他们在可计算的有限行有向图上计算了Leavitt路径代数的等式V [L-K（E）]。
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