3 problems

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The Grothendieck-semigroup criterion for semiperfectness of localized group algebras
Semiperfectness criterion. The ring $\mathbb{Z}_{(p)}G$ is semiperfect if and only if
Conjectureopengroup-algebras modular-representation-theory semiperfect-ringsarXiv posted 2 days ago
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Conjecture on semiperfect quasi- $\pi_\infty$ -regularity of finitely presented algebra extensions
Semiperfect quasi- $\pi_\infty$ -regularity conjecture. Then $R$ is semiperfect and quasi- $\pi_\infty$ -regular with respect to some topology. The condition on $J$ ensures that the to…
Conjectureopenring-theory semiperfect-rings topological-ringsarXiv posted 2 days ago
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Conjecture on non-commutative extensions of the semiperfect algebra result
The preceding results concern a commutative semiperfect pro-semiprimary ring $S$ and an $S$ -algebra $R$ that is Hausdorff and finitely presented as an $S$ -module. Non-commutative e…
Conjectureopenmodule-theory ring-theory semiperfect-ringsarXiv posted 2 days ago

The Grothendieck-semigroup criterion for semiperfectness of localized group algebras