4 problems
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The period-four conjecture for indecomposable symmetric periodic tame algebras
Let be an indecomposable symmetric periodic tame algebra. Call its representation growth non-polynomial when it is not of polynomial growth, and let the period of be its pe…
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Darpö–Iyama finiteness conjecture for cluster-tilting dimensions
Let be a finite-dimensional algebra, and let be an integer for which admits a -cluster tilting module. Darpö–Iyama finiteness conjecture. For a fixed finite-dimensio…
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Finite weakly simple-minded systems conjecture for self-injective algebras
Let be a self-injective algebra and let be a weakly simple-minded system with finite cardinality in the stable module category -. The…
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Hernandez–Walton–Yadav conjecture on non-counital Frobenius structures
Let be a finite-dimensional self-injective algebra over a field, and let a non-counital Frobenius structure mean a coassociative comultiplication map … that is an -bimodule…