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On Certain Properties and Invariants of Graded Rings and Modules

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Abstract

The behaviour under coarsening functors of simple, entire, or reduced graded rings, of free graded modules over principal graded rings, of superfluous monomorphisms and of homological dimensions of graded modules, as well as adjoints of degree restriction functors, are investigated.

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Notes

  1. The remaining claims were mentioned without proof in loc. cit

  2. This closely follows the proof of the ungraded variant in [1, VII.3 Théorème 1], enhanced by some bookkeeping about degrees.

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Acknowledgements

I am grateful to Uriya First for showing me how to use Schanuel’s Lemma to prove Theorem 6.3.

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  1. Grosse Grof 9, 9470, Buchs, Switzerland

    Fred Rohrer

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  1. Fred Rohrer
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Correspondence to Fred Rohrer.

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Rohrer, F. On Certain Properties and Invariants of Graded Rings and Modules. Vietnam J. Math. 49, 1257–1273 (2021). https://doi.org/10.1007/s10013-020-00458-4

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