On a class of algebras associated to directed graphs

Israel Gelfand ^[1] ; Vladimir Retakh ^[1] ; Shirlei Serconek ^[2] ; Robert Lee Wilson ^[1]
1. [1] Rutgers University
  
  Rutgers University
  
  City of New Brunswick, Estados Unidos
2. [2] IME-UFG, Brasil
Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 11, Nº. 2, 2005, págs. 281-295
Idioma: inglés
DOI: 10.1007/s00029-005-0005-x
Enlaces
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Resumen
- 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.