Important tools in the study of graded modules over graded K-algebras are considered including the functors Hom and tensor in the category of graded R-modules and functors derived from them, Koszul complexes, minimal graded free resolutions and graded injective resolutions.

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Homological Methods (on Graded Structures)

  • Jürgen Herzog,
  • Somayeh Moradi,
  • Masoomeh Rahimbeigi

摘要

Important tools in the study of graded modules over graded K-algebras are considered including the functors Hom and tensor in the category of graded R-modules and functors derived from them, Koszul complexes, minimal graded free resolutions and graded injective resolutions.