Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The injective and projective Leavitt complexes   For a certain finite graph E, we consider the corresponding finite
dimensional algebra A with radical square zero. An explicit compact generator
for the homotopy category of acyclic complexes of injective (resp. projective)
modules over A, called the injective (resp. projective) Leavitt complex of E,
was constructed in [18] (resp. [19]). We overview the connection between the
injective (resp. projective) Leavitt complex and the Leavitt path algebra of E.
A differential graded bimodule structure, which is right quasi-balanced, is
endowed to the injective (resp. projective) Leavitt complex in [18] (resp.
[19]). We prove that the injective (resp. projective) Leavitt complex is not
left quasi-balanced.

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The categories of this paper are: nucl-th
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The categories of this paper are: cond-mat
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-ph
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The categories of this paper are: solv-int
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The categories of this paper are: bayes-an
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The categories of this paper are: nlin
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The categories of this paper are: physics
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The categories of this paper are: gr-qc
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-th
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The categories of this paper are: funct-an
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The categories of this paper are: q-alg
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The categories of this paper are: stat
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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-ex