The Dedekind-domain containment conjecture for idempotent plethories

Let DD be a Dedekind domain of characteristic zero with quotient field KK. The Dedekind-domain containment conjecture. Every idempotent DD-plethory is contained in K[e]K[e], or, equivalently, Int(D){\operatorname{Int}}(D) is the largest idempotent DD-plethory and is therefore the epimorphic hull of the trivial DD-plethory. This conjecture addresses the classification of idempotent plethories and the existence of an epimorphic hull of the trivial plethory for Dedekind domains.

Sources & referencesView supporting material

Primary source

Jesse Elliott, “Idempotent plethories”, arXiv:1505.06493 (2025).

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