Results 11 to 20 of about 2,272 (232)
Commutative Endomorphism Rings [PDF]
Canadian Journal of Mathematics, 1971 The problem of classifying the torsion-free abelian groups with commutative endomorphism rings appears as Fuchs’ problems in [ 4 , Problems 46 and 47]. They are far from solved, and the obstacles to a solution appear formidable (see [ 4; 5 ]).
J. Zelmanowitz
openaire +3 more sources
Nilpotency in endomorphism rings [PDF]
Proceedings of the American Mathematical Society, 1974 Nil subrings of the endomorphism ring of a module with finite Krull dimension sequence are nilpotent. This includes the case of a module with finite Krull dimension as well as noetherian modules. The method used is to embed the endomorphism ring, modulo a nilpotent ideal, in the endomorphism ring of an artinian object of a Grothendieck category.
Robert Gordon
openaire +3 more sources
Endomorphism Rings in Cryptography. [PDF]
, 2011 La cryptographie est devenue indispensable afin de garantir la sécurité et l'intégrité des données transitant dans les réseaux de communication modernes. Ces deux dernières décennies, des cryptosystèmes très efficaces, sûr et riches en fonctionnalités ont été construits à partir de variétés abéliennes définies sur des corps finis. Cette thèse contribue
Bisson, G. +2 more
openaire +6 more sources
Cogenerator endomorphism rings [PDF]
Proceedings of the American Mathematical Society, 1971 If R R is a ring and P P is a finitely generated projective right R R -module, what properties of R R does the R R -endomorphism ring of P P inherit? Rosenberg and Zelinsky have shown that if R R is quasi-Frobenius, and P
Ronald L. Wagoner
openaire +3 more sources
On PP-Endomorphism Rings [PDF]
Canadian Mathematical Bulletin, 1993 AbstractA characterization is given of when all kernels (respectively images) of endomorphisms of a module are direct summands, a necessary condition being that the endomorphism ring itself is a left (respectively right) PP-ring. This result generalizes theorems of Small, Lenzing and Colby-Rutter and shows that R is left hereditary if and only if the ...
W. K. Nicholson
openaire +2 more sources
H-module endomorphism rings [PDF]
Journal of Pure and Applied Algebra, 1995 Let \(H\) be a finite-dimensional Hopf algebra and \(A/B\) an \(H\)-Galois extension. Then for any right \(A\)-module \(M\) there is a ring isomorphism \(\text{End}_A(M\otimes_BA)\simeq\text{End}_B(M)\# H\). \(\text{End}_B(M)/\text{End}_A(M)\) is an \(H^*\)-extension. If moreover \(H\) is unimodular, \(\text{End}_B(M)/\text{End}_A(M)\) is Galois if and
Van Oystaeyen, F., Zhang, Y.
openaire +4 more sources
Centralizers in endomorphism rings [PDF]
Journal of Algebra, 2009 We prove that the centralizer Cen(f) in Hom_R(M,M) of a nilpotent endomorphism f of a finitely generated semisimple left R-module M (over an arbitrary ring R) is the homomorphic image of the opposite of a certain Z(R)-subalgebra of the full m x m matrix algebra M_m(R[z]), where m is the dimension (composition length) of ker(f).
Vesselin Drensky +2 more
openalex +4 more sources
Isomorphisms Between Endomorphism Rings of Modules [PDF]
, 1995 We derive a necessary and sufficient condition that an isomorphism between the endomorphism rings of modules be induced by a semi-linear isomorphism of the modules. We require that at least one of the modules contain a non-zero free summand, generalizing
Kenneth G. Wolfson
openalex +3 more sources
Computing endomorphism rings of elliptic curves under the GRH [PDF]
Journal of Mathematical Cryptology, 2012 11 pages, 1 figureInternational audienceWe 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 ...
Bisson Gaetan
doaj +2 more sources
Centers of Categorified Endomorphism Rings [PDF]
Algebras and Representation Theory, 2022 We prove that for a large class of well-behaved cocomplete categories $\mathcal C$ the weak and strong Drinfeld centers of the monoidal category $\mathcal{E}$ of cocontinuous endofunctors of $\mathcal{C}$ coincide. This generalizes similar results in the literature, where $\mathcal{C}$ is the category of modules over a ring $A$ and hence $\mathcal{E ...
Alexandru Chirvăsitu
openalex +5 more sources