163 citations · 327 across the 36 of their papers we have counts for
3 papers · 1 filter
Factorizations of Polynomials over Noncommutative Algebras and Sufficient Sets of Edges in Directed Graphs
Israel Gelfand, Sergei Gelfand, Vladimir Retakh +1
To directed graphs with unique sink and source we associate a noncommutative associative alsgebra and a polynomial over this algebra. Edges of the graph correspond to pseudo-roots…
On a class of Koszul algebras associated to directed graphs
Vladimir Retakh, Shirlei Serconek, Robert Lee Wilson
In math.QA/0506507 I. Gelfand and the authors introduced and studied a new class of algebras associated to directed graphs. In this paper we show that these algebras are Koszul for…
On a class of algebras associated to directed graphs
Israel Gelfand, Vladimir Retakh, Shirlei Serconek +1
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. Suc…