# Finitely presented modules over Leavitt algebras

@inproceedings{Ara2004FinitelyPM, title={Finitely presented modules over Leavitt algebras}, author={Pere Ara}, year={2004} }

Given a -eld k and a positive integer n, we study the structure of the -nitely presented modules over the Leavitt k-algebra L of type (1 ;n ), which is the k-algebra with a universal isomorphism i : L → L n+1 . The abelian category of -nitely presented left L-modules of -nite length is shown to be equivalent to a certain subcategory of -nitely presented modules over the free algebra of rank n + 1, and also to a quotient category of the category of -nite dimensional (over k) modules over a free… CONTINUE READING

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