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JOURNALS // Vestnik Samarskogo Universiteta. Estestvenno-Nauchnaya Seriya // Archive

Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2010 Issue 6(80), Pages 48–53 (Mi vsgu193)

Mathematics

Algebras of paths on complete graphs

V. G. Mosin

Dept. of Higher Mathematics, Samara State University of Architecture and Civil Engineering, Samara, 443001, Russian Federation

Abstract: 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.

UDC: 512.6

Received: 21.04.2010
Revised: 21.04.2010



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