Results 41 to 50 of about 1,334 (223)
On commutative endomorphism rings [PDF]
Pacific Journal of Mathematics, 1970 This note deals with a finitely generated faithful module E over a commutative semi-prime noetherian ring R, with commutative endomorphism ring HomJ2(Er, E) = Ω(E). It is shown that E is identifiable to an ideal of R whenever Ω(E) lacks nilpotent elements; a class of examples with Ω(E) commutative but not semi-prime is discussed.
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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 ...
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Projective modules over the endomorphism ring of a biuniform module [PDF]
, 2004 We investigate infinitely generated projective modules over the endomorphism ring of a biuniform ...
Puninski, Gena
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A KIND OF F-INVERSE SPLIT MODULES [PDF]
Journal of Algebraic Systems, 2020 Let M be a right module over a ring R. In this manuscript, we shall study on a special case of F-inverse split modules where F is a fully invariant submodule of M introduced in [12].
M. Hosseinpour, A. R. Moniri Hamzekolaee
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Finite valuated groups as modules over their endomorphism ring [PDF]
, 2017 This paper discusses the structure of a finite valuated p-group when viewed as a module over its endomorphism ring. A category equivalence between full subcategories of the category of valuated p-groups and the category of right modules over the ...
ALBRECHT, Ulrich
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The supersingular endomorphism ring problem given one endomorphism [PDF]
Given a supersingular elliptic curve E and a non-scalar endomorphism α of E, we prove that the endomorphism ring of E can be computed in classical time about disc(Z[α])^1/4, and in quantum subexponential time, assuming the generalised Riemann hypothesis.
Wesolowski, Benjamin +3 more
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The supersingular endomorphism ring problem given one endomorphism [PDF]
, 2023 Given a supersingular elliptic curve E and a non-scalar endomorphism $\alpha$ of E, we prove that the endomorphism ring of E can be computed in classical time about disc(Z[$\alpha$])^1/4 , and in quantum subexponential time, assuming the generalised ...
Wesolowski, Benjamin +1 more
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Isomorphism Between Endomorphism Rings of Modules Over A Semisimple Ring [PDF]
, 2020 Our question is what ring R which all modules over R are determined, up to isomorphism, by their endomorphism rings? Examples of this ring are division ring and simple Artinian ring. Any semi simple ring does not satisfy this property.
Irawati, I. (Irawati) +3 more
core
Rigorous computation of the endomorphism ring of a Jacobian [PDF]
, 2018 We describe several improvements to algorithms for the rigorous computation of the endomorphism ring of the Jacobian of a curve defined over a number ...
Mascot, Nicolas +4 more
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Rings all of whose additive group endomorphisms are left multiplications
International Journal of Mathematics and Mathematical Sciences, 1984 Motivated by Cauchy's functional equation f(x+y)=f(x)+f(y), we study in §1 special rings, namely, rings for which every endomorphism f of their additive group is of the form f(x)≡ax. In §2 we generalize to R algebras (R a fixed commutative ring) and give
Michael I. Rosen, Oved shisha
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