Flows in graphs and the homology of free categories

dc.contributor.author	Husainov, A.A.
dc.contributor.author	Calısıcı, H.
dc.date.accessioned	2019-06-17T10:56:23Z
dc.date.available	2019-06-17T10:56:23Z
dc.date.issued	2003
dc.identifier.citation	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.	uk_UA
dc.identifier.issn	1726-3255
dc.identifier.other	2000 Mathematics Subject Classification: 18G10, 68R10.
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/155701
dc.description.abstract	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.	uk_UA
dc.description.sponsorship	Research is supported by RF grant center at Novosibirsk State University in Russia and by TUB¨ ˙ITAK and NATO in Turkey	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут прикладної математики і механіки НАН України	uk_UA
dc.relation.ispartof	Algebra and Discrete Mathematics
dc.title	Flows in graphs and the homology of free categories	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA