On a class of Koszul algebras associated to directed graphs

Vladimir Retakh; Shirlei Serconek; Robert Lee Wilson

doi:10.1016/j.jalgebra.2005.11.005

On a class of Koszul algebras associated to directed graphs

Vladimir Retakh, Shirlei Serconek, Robert Lee Wilson

School of Arts and Sciences, Mathematics

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

Abstract

In [I. Gelfand, V. Retakh, S. Serconek, R.L. Wilson, On a class of algebras associated to directed graphs, Selecta Math. (N.S.) 11 (2005), math.QA/0506507] I. Gelfand and the authors of this paper introduced a new class of algebras associated to directed graphs. In this paper we show that these algebras are Koszul for a large class of layered graphs.

Original language	English (US)
Pages (from-to)	1114-1129
Number of pages	16
Journal	Journal of Algebra
Volume	304
Issue number	2
DOIs	https://doi.org/10.1016/j.jalgebra.2005.11.005
State	Published - Oct 15 2006

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

Keywords

Directed graphs
Koszul algebras

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10.1016/j.jalgebra.2005.11.005

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title = "On a class of Koszul algebras associated to directed graphs",

abstract = "In [I. Gelfand, V. Retakh, S. Serconek, R.L. Wilson, On a class of algebras associated to directed graphs, Selecta Math. (N.S.) 11 (2005), math.QA/0506507] I. Gelfand and the authors of this paper introduced a new class of algebras associated to directed graphs. In this paper we show that these algebras are Koszul for a large class of layered graphs.",

keywords = "Directed graphs, Koszul algebras",

author = "Vladimir Retakh and Shirlei Serconek and Wilson, {Robert Lee}",

year = "2006",

month = oct,

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doi = "10.1016/j.jalgebra.2005.11.005",

language = "English (US)",

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journal = "Journal of Algebra",

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T1 - On a class of Koszul algebras associated to directed graphs

AU - Retakh, Vladimir

AU - Serconek, Shirlei

AU - Wilson, Robert Lee

PY - 2006/10/15

Y1 - 2006/10/15

N2 - In [I. Gelfand, V. Retakh, S. Serconek, R.L. Wilson, On a class of algebras associated to directed graphs, Selecta Math. (N.S.) 11 (2005), math.QA/0506507] I. Gelfand and the authors of this paper introduced a new class of algebras associated to directed graphs. In this paper we show that these algebras are Koszul for a large class of layered graphs.

AB - In [I. Gelfand, V. Retakh, S. Serconek, R.L. Wilson, On a class of algebras associated to directed graphs, Selecta Math. (N.S.) 11 (2005), math.QA/0506507] I. Gelfand and the authors of this paper introduced a new class of algebras associated to directed graphs. In this paper we show that these algebras are Koszul for a large class of layered graphs.

KW - Directed graphs

KW - Koszul algebras

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DO - 10.1016/j.jalgebra.2005.11.005

M3 - Article

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JO - Journal of Algebra

JF - Journal of Algebra

SN - 0021-8693

IS - 2

ER -

On a class of Koszul algebras associated to directed graphs

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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