4 problems
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Chiarellotto–Tsuzuki conjecture on the filtration of horizontal sections
Let be a complete discrete valuation field of mixed characteristic with non-trivial valuation, let be a finite free differential module over admittin…
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The Frobenius conjecture for biseparable corings
Let be a ring and let be an -coring, meaning an -bimodule equipped with counit and comultiplication maps satisfying the coring axioms. The coring…
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The triviality conjecture for extensions of Taft algebras
Let be a positive integer, let be the parameter in the Taft algebra, and define … An extension consists of a Frobenius automorphism and an element ; cal…
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Dwork's conjecture on the widespread existence of Frobenius structures
A differential equation is considered together with its solution space and the associated Frobenius action. A Frobenius structure means a structure expressing compatibility between…