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math.AC2026
Frobenius multiplicities and F-signatures of Grassmannians of two-planes
Justin Lyle
Raedschelders, Špenko and Van den Bergh proved that the Plücker coordinate ring of the Grassmannian has finite Frobenius representation type when the…
math.AC2026
On the totally acyclic condition and the Auslander-Reiten Conjecture
Justin Lyle
We prove new cases of the Auslander-Reiten conjecture under the assumption that the base ring satisfies the totally acyclic condition . A consequence of our work is…
math.AC2026
A counterexample to the localization problem for AB rings
Justin Lyle, Saeed Nasseh
We construct a complete local Gorenstein ring of dimension with a prime ideal such that is an AB ring, but the localization $R_…