2 problems

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Primality conjecture for invariant ideals in skew power series rings
Let $R$ be a Noetherian ring, complete with respect to a positive filtration topology, and let $(\sigma,\delta)$ be a continuous skew derivation compatible with the filtration. Def…
Conjectureopennoncommutative-rings prime-ideals skew-power-series-ringsarXiv posted 2 days ago
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The semiprimeness conjecture for bounded skew power series rings
Semiprimeness conjecture. The ring $Q^+[[x;sigma,delta]]$ is (semi)prime.
Conjectureopenfiltered-rings noncommutative-rings skew-power-series-ringsarXiv posted 2 days ago

Primality conjecture for invariant ideals in skew power series rings