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On a class of algebras associated to directed graphs

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Abstract.

To any directed graph we associate an algebra with edges of the graph as generators and with relations defined by all pairs of directed paths with the same origin and terminus. Such algebras are related to factorizations of polynomials over noncommutative algebras. We also construct a basis for our algebras associated to layered graphs.

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Authors and Affiliations

  1. Department of Mathematics, Rutgers University, Piscataway, NJ, 08854-8019, U.S.A

    Israel Gelfand, Vladimir Retakh & Robert Lee Wilson

  2. IME-UFG, CX Postal 131, Goiania –GO, CEP, 74001-970, Brazil

    Shirlei Serconek

Authors
  1. Israel Gelfand
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  2. Vladimir Retakh
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  3. Shirlei Serconek
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  4. Robert Lee Wilson
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Correspondence to Israel Gelfand.

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Gelfand, I., Retakh, V., Serconek, S. et al. On a class of algebras associated to directed graphs. Sel. math., New ser. 11, 281 (2005). https://doi.org/10.1007/s00029-005-0005-x

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  • DOI: https://doi.org/10.1007/s00029-005-0005-x

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