RETRACTED: A note on injective dimension of local cohomology modules
DOI:
https://doi.org/10.13069/jacodesmath.v13i1.375Keywords:
Gorenstein rings, Injective dimension, Local cohomology modulesAbstract
This article has been retracted following a post-publication editorial investigation. For comprehensive details and the official statement of the Editor-in-Chief, please see the formal Retraction Note: https://doi.org/10.13069/jacodesmath.v14i1.525.
In this study, we assume that R is a commutative Noetherian ring with nonzero identity. We present upper bounds for the injective dimension of I, where I is any ideal in the ring R, in terms of the injective dimension of its local cohomology modules and an upper bound for the injective dimension that involves the theory of local cohomology modules. Since I is an ideal in R, we obtain applications of the theory in a general context.
Received: 6 March 2025 | Accepted: 10 September 2025
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