Abstract
We consider the dominant dimension of an order over a Cohen-Macaulay ring in the category of centrally Cohen-Macaulay modules. There is a canonical tilting module in the case of positive dominant dimension and we give an upper bound on the global dimension of its endomorphism ring.
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Acknowledgements
I would like to thank Graham Leuschke for adopting me as a PhD student and introducing me to work of Pressland and Sauter. I also thank Osamu Iyama, Benjamin Briggs, Vincent Gélinas and Louis-Philippe Thibault for many fruitful discussions and the anonymous referee for thoughtful comments that improved not only this paper but also my understanding of the subject.
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Presented by: Peter Littelmann
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Esentepe, Ö. A Note on the Global Dimension of Shifted Orders. Algebr Represent Theor 27, 667–678 (2024). https://doi.org/10.1007/s10468-023-10229-7
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DOI: https://doi.org/10.1007/s10468-023-10229-7