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math.RA2023
Leavitt Path Algebras with Coefficients in a Commutative Unital Ring
Ayten Koç, Murad Özaydın
In addition to extending some facts from field coefficients to commutative ring coefficients for Leavitt path algebras with new shorter proofs, we also prove some results that are…
math.RA2022
Classification of Leavitt Path Algebras with Gelfand-Kirillov Dimension <4 up to Morita Equivalence
Ayten Koç, Murad Özaydın
Leavitt path algebras are associated to di(rected )graphs and there is a combinatorial procedure (the reduction algorithm) making the digraph smaller while preserving the Morita ty…
math.RA2016
Finite Dimensional Representations of Leavitt Path Algebras
Ayten Koç, Murad Özaydın
When is a row-finite di(rected )graph we classify all finite dimensional modules of the Leavitt path algebra via an explicit Morita equivalence given by an effective com…