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Level and Gorenstein Projective Dimension

Laila Awadalla, University of Nebraska - Lincoln

Abstract

We investigate the relationship between the level of a bounded complex over a commutative ring with respect to the class of Gorenstein projective modules and other invariants of the complex or ring, such as projective dimension, Gorenstein projective dimension, and Krull dimension. The results build upon work for levels with respect to the class of finitely generated projective modules done by J. Christensen (1998), H. Altmann et al. (2017), and Avramov et al. (2010) for levels with respect to the class of finitely generated projective modules.

Subject Area

Mathematics

Recommended Citation

Awadalla, Laila, "Level and Gorenstein Projective Dimension" (2022). ETD collection for University of Nebraska - Lincoln. AAI29322298.
https://digitalcommons.unl.edu/dissertations/AAI29322298

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