A counterexample to the \(\phi \)-dimension conjecture (Q2070954)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A counterexample to the \(\phi \)-dimension conjecture |
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A counterexample to the \(\phi \)-dimension conjecture (English)
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25 January 2022
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The main goal of this paper is to show that infinite \(\phi\)-dimension Artin algebras exist, disproving the \(\phi\)-dimension conjecture (and thus the \(\psi\)-dimension conjecture), while also demonstrating the importance of this class of algebras for future research and the search for a resolution of the finitistic dimension conjecture.
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\( \phi \)-dimension
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finitistic dimension
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periodic chain complexes
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