Complete intersection dimension

作者: Luchezar L. Avramov , Vesselin N. Gasharov , Irena V. Peeva

DOI: 10.1007/BF02698901

关键词: Global dimensionMathematicsFlat moduleComplete intersectionComplete intersection ringProjective moduleCommutative ringModuleKrull dimensionDiscrete mathematics

摘要: A new homological invariant is introduced for a finite module over commutative noetherian ring: its CI-dimension. In the local case, sharp quantitative and structural data are obtained modules of CI-dimension, providing first class (possibly) infinite projective dimension with rich structure theory free resolutions.

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