Hilbert series of algebras associated to directed graphs

Vladimir Retakh; Shirlei Serconek; Robert Lee Wilson

doi:10.1016/j.jalgebra.2006.06.048

Hilbert series of 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

10 Scopus citations

Abstract

We compute the Hilbert series of some algebras associated to directed graphs and related to factorizations of noncommutative polynomials.

Original language	English (US)
Pages (from-to)	142-151
Number of pages	10
Journal	Journal of Algebra
Volume	312
Issue number	1
DOIs	https://doi.org/10.1016/j.jalgebra.2006.06.048
State	Published - Jun 1 2007

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

Keywords

Directed graphs
Hilbert series
Quadratic algebras

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10.1016/j.jalgebra.2006.06.048

Cite this

@article{358e8c5a935c475ea522ba9a7e2ddfb4,

title = "Hilbert series of algebras associated to directed graphs",

abstract = "We compute the Hilbert series of some algebras associated to directed graphs and related to factorizations of noncommutative polynomials.",

keywords = "Directed graphs, Hilbert series, Quadratic algebras",

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

note = "Funding Information: During preparation of this paper Vladimir Retakh was partially supported by NSA. We thank the referee for useful comments.",

year = "2007",

month = jun,

day = "1",

doi = "10.1016/j.jalgebra.2006.06.048",

language = "English (US)",

volume = "312",

pages = "142--151",

journal = "Journal of Algebra",

issn = "0021-8693",

publisher = "Academic Press Inc.",

number = "1",

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T1 - Hilbert series of algebras associated to directed graphs

AU - Retakh, Vladimir

AU - Serconek, Shirlei

AU - Wilson, Robert Lee

N1 - Funding Information: During preparation of this paper Vladimir Retakh was partially supported by NSA. We thank the referee for useful comments.

PY - 2007/6/1

Y1 - 2007/6/1

N2 - We compute the Hilbert series of some algebras associated to directed graphs and related to factorizations of noncommutative polynomials.

AB - We compute the Hilbert series of some algebras associated to directed graphs and related to factorizations of noncommutative polynomials.

KW - Directed graphs

KW - Hilbert series

KW - Quadratic algebras

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U2 - 10.1016/j.jalgebra.2006.06.048

DO - 10.1016/j.jalgebra.2006.06.048

M3 - Article

AN - SCOPUS:34247203591

SN - 0021-8693

VL - 312

SP - 142

EP - 151

JO - Journal of Algebra

JF - Journal of Algebra

IS - 1

ER -

Hilbert series of algebras associated to directed graphs

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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