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Supersingular Endomorphism Rings: Algorithms and Applications [PDF]
This thesis is about the endomorphism rings of supersingular elliptic curves, their applications in cryptography, and related algorithms. These algorithms and applications all involve an interplay between supersingular elliptic curves and quaternion ...
Eriksen, Jonathan Komada
core
Computing endomorphism rings of elliptic curves under the GRH [PDF]
, 2015 We design a probabilistic algorithm for computing endomorphism rings of ordinary elliptic curves defined over finite fields that we prove has a subexponential runtime in the size of the base field, assuming solely the generalized Riemann hypothesis ...
Gaetan Bisson
core
Correspondence theorems for modules and their endomorphism rings [PDF]
, 1989 Soumaya Makdissi Khuri
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Weak global dimension of endomorphism rings of free modules [PDF]
, 1982 Barbara L. Osofsky
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Grassmannians and Cluster Structures. [PDF]
Bull Iran Math Soc, 2021 Baur K.
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Central Separable Algebras Which are Locally Endomorphism Rings of Free Modules [PDF]
, 1971 Bernice L. Auslander
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Endomorphism rings of reductions of Drinfeld modules [PDF]
, 2019 Sumita Garai, Mihran Papikian
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On some classes of modules and their endomorphism rings [PDF]
, 2014 In [33], it was proved that an injective module is indecomposable if and only if its endomorphism ring is local. The first aim of this thesis is to generalize this result from indecomposable modules to square-free ones by showing that an injective module
Bien, M.H.
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