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The Supersingular Endomorphism Ring and One Endomorphism Problems are Equivalent
The supersingular Endomorphism Ring problem is the following: given a supersingular elliptic curve, compute all of its endomorphisms. The presumed hardness of this problem is foundational for isogeny-based cryptography. The One Endomorphism problem only asks to find a single non-scalar endomorphism.
Page, Aurel, Wesolowski, Benjamin
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Finite rank torsion-free abelian groups uniserial over their endomorphism rings [PDF]
, 1985 Jutta Hausen
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Endomorphism algebras over commutative rings and torsion in self tensor products [PDF]
, 2023 Justin Lyle
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On May Modules of Finite Rank and the Jacobson Radicals of Their Endomorphism Rings [PDF]
, 2019 In [5], W. May studied the question of when isomorphisms of the endomorphism rings of mixed modules are necessarily induced by isomorphisms of the underlying modules.
Flagg, Mary, Keef, Patrick W.
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Unlikely intersections on the p-adic formal ball. [PDF]
Res Number Theory, 2023 Serban V.
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Endomorphism rings of simple modules over group rings [PDF]
, 1996 Robert L. Snider
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The homotopy categories of injective modules of derived discrete algebras [PDF]
, 2013 Zhe H. The homotopy categories of injective modules of derived discrete algebras.
Zhe, Han
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Lattices in Tate modules. [PDF]
Proc Natl Acad Sci U S A, 2021 Poonen B, Rybakov S.
europepmc +1 more source
p-adic vertex operator algebras. [PDF]
Res Number Theory, 2023 Franc C, Mason G.
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Corrections to: “Torsion free abelian groups quasiprojective over their endomorphism rings. II” [PDF]
, 1978 C. Vinsonhaler
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