"K-theoretic" analog of Postnikov-Shapiro algebra distinguishes graphs

"K-theoretic" analog of Postnikov-Shapiro algebra distinguishes graphs

In this paper we study a filtered "K-theoretical" analog of a graded algebra associated to any loopless graph G which was introduced in \cite{PS}. We show that two such filtered algebras are isomorphic if and only if their graphs are isomorphic. We also study a large family of filtered gen...

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Veröffentlicht in:arXiv.org 2016-03
Hauptverfasser: Nenashev, G, Shapiro, B
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Algebra
Graphs
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description In this paper we study a filtered "K-theoretical" analog of a graded algebra associated to any loopless graph G which was introduced in \cite{PS}. We show that two such filtered algebras are isomorphic if and only if their graphs are isomorphic. We also study a large family of filtered generalizations of the latter graded algebra which includes the above "K-theoretical" analog.
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title "K-theoretic" analog of Postnikov-Shapiro algebra distinguishes graphs
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