Graph representation of projective resolutions |
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Authors: | Hong Bo Shi |
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Institution: | Department of Mathematics, Nanjing University of Finance and Economics, Nanjing 210046, P. R. China |
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Abstract: | We generalize the concept — dimension tree and the related results for monomial algebras to a more general case — relations algebras Λ by bringing Gröbner basis into play. More precisely, we will describe the minimal projective resolution of a left Λ-module M as a rooted ‘weighted’ diagraph to be called the minimal resolution graph for M. Algorithms for computing such diagraphs and applications as well will be presented. |
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Keywords: | Relations algebras dimension trees projective resolutions finitistic dimensions Grobner basis |
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