Flows in graphs and the homology of free categories

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Algebra and Discrete Mathematics
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Algebra and Discrete Mathematics, 2003, Vol. 2
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Algebra and Discrete Mathematics, 2003, № 2
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Flows in graphs and the homology of free categories

Інший ID: 2000 Mathematics Subject Classification: 18G10, 68R10.

URI: http://dspace.nbuv.gov.ua/handle/123456789/155701

Посилання: Flows in graphs and the homology of free categories / A.A. Husainov, H. Calısıcı // Algebra and Discrete Mathematics. — 2003. — Vol. 2, № 2. — С. 36–46. — Бібліогр.: 8 назв. — англ.

Підтримка: Research is supported by RF grant center at Novosibirsk State University in Russia and by TUB¨ ˙ITAK and NATO in Turkey

Дата: 2003

Завантажень: 193

Flows in graphs and the homology of free categories

Анотація:

We study the R−module of generalized flows in a graph with coefficients in the R−representation of the graph over a ring R with 1 and show that this R−module is isomorphic to the first derived functor of the colimit. We generalize Kirchhoff’s laws and build an exact sequence for calculating the R−module of flows in the union of graphs.

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