Hilbert series of algebras associated to directed graphs

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چکیده

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Hilbert Series of Algebras Associated to Directed Graphs

In [3] we introduced a new class of algebras A(Γ) associated to layered directed graphs Γ. These algebras arose as generalizations of the algebras Qn (which are related to factorizations of noncommutative polynomials, see [2, 5, 9]), but the new class of algebras seems to be interesting by itself. Various results have been proven for algebras A(Γ). In [3] we constructed a linear basis in A(Γ). ...

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ژورنال

عنوان ژورنال: Journal of Algebra

سال: 2007

ISSN: 0021-8693

DOI: 10.1016/j.jalgebra.2006.06.048