Algebras of paths on complete graphs
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 6 (2010), pp. 48-53 Cet article a éte moissonné depuis la source Math-Net.Ru

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The algebras of paths on connected graphs are defined. Their properties are described and central elements of division rings for the case when the graph is a complete, indirected loop-free, are also described.
Keywords: quantum algebra, graph, algebra of twisted polynomials.
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V. G. Mosin. Algebras of paths on complete graphs. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 6 (2010), pp. 48-53. http://geodesic.mathdoc.fr/item/VSGU_2010_6_a5/

[1] Panov A. N., “Tela skruchennykh ratsionalnykh funktsii i telo ratsionalnykh funktsii na $GL_q(n, K)$”, Algebra i analiz, 7:1 (1995), 153–167 | MR

[2] Mosin V. G., Panov A. N., “Tela chastnykh i tsentralnye elementy mnogoparametricheskikh kvantovanii”, Matem. sb., 187:6 (1996), 53–72 | DOI | MR | Zbl

[3] Mosin V. G., “Primitivnye idealy v algebre regulyarnykh funktsii na kvantovykh $(m\times n)$-matritsakh”, Matem. zametki, 71:2 (2002), 318–320 | DOI | MR | Zbl