Results 81 to 90 of about 1,334 (223)
Rickard's derived Morita theory: Review and outlook
Abstract We survey the main results in Jeremy Rickard's seminal papers ‘Morita theory for derived categories’ and ‘Derived equivalences and derived functors’. These papers catalysed the later development of the Morita theory of (enhanced) compactly generated triangulated categories by Keller in the algebraic setting and by Schwede and Shipley in the ...
Gustavo Jasso +2 more
wiley +1 more source
Describing Ideals of Endomorphism Rings [PDF]
By a result of Baer, the two-sided ideals in the ring of linear transformations of an infinite vector space can be characterized by a single cardinal invariant. The authors seek similar results for modules over discrete valuation rings. Recall that an endomorphism is called direct if both the kernel and the image are direct summands. For a free module \
Goldsmith, Brendan, Pabst, Simone
openaire +3 more sources
The N‐prime graph and the Subgroup Isomorphism Problem
Abstract We introduce a directed graph related to a group G$G$, which we call the N‐prime graph ΓN(G)$\Gamma _{\rm {N}}(G)$ of G$G$ and is a refinement of the classical Gruenberg–Kegel graph. The vertices of ΓN(G)$\Gamma _{\rm {N}}(G)$ are the primes p$p$ such that G$G$ has an element of order p$p$, and, for distinct vertices p$p$ and q$q$, the arc q→p$
Emanuele Pacifici +2 more
wiley +1 more source
Some properties of skew Hurwitz series
In this paper we show that, if R is a ring and σ an endomorphism of R, then the skew Hurwitz series ring T = (HR, σ ) is an n-clean ring if and only if R is an n-clean ring.
A. M. Hassanein, Mohamed A. Farahat
doaj
Isotopy and equivalence of knots in 3‐manifolds
Abstract Two knots K$K$ and J$J$ in S3$S^3$ are isotopic if and only if they are related by an orientation‐preserving diffeomorphism of S3$S^3$. This claim follows from the fact that any orientation‐preserving self‐diffeomorphism of S3$S^3$ is isotopic to the identity. We show that this same idea applies to any prime oriented closed 3‐manifold.
Paolo Aceto +4 more
wiley +1 more source
Direct-sum decompositions of modules with semilocal endomorphism ring [PDF]
Suppose C is a class of right R-modules with the following three properties: C has a set of representatives V(C) (that is, V(C) is a set, not a proper class); C is closed under finite direct sums, under direct summands and under isomorphisms; and End_R(A)
FACCHINI, ALBERTO +2 more
core +1 more source
Motivic mirror symmetry and χ$\chi$‐independence for Higgs bundles in arbitrary characteristic
Abstract We prove that the (twisted orbifold) motives of the moduli spaces of SLn$\mathrm{SL}_n$ and PGLn$\mathrm{PGL}_n$‐Higgs bundles of coprime rank and degree on a smooth projective curve over an algebraically closed field in which the rank is invertible are isomorphic in Voevodsky's triangulated category of motives.
Victoria Hoskins, Simon Pepin Lehalleur
wiley +1 more source
Computing the endomorphism ring of an ordinary elliptic curve over a finite field [PDF]
International audienceWe present two algorithms to compute the endomorphism ring of an ordinary elliptic curve E defined over a finite field F_q. Under suitable heuristic assumptions, both have subexponential complexity.
Bisson, G. +8 more
core +1 more source
The geometry of zonotopal algebras II: Orlik–Terao algebras and Schubert varieties
Abstract Zonotopal algebras, introduced by Postnikov–Shapiro–Shapiro, Ardila–Postnikov, and Holtz–Ron, show up in many different contexts, including approximation theory, representation theory, Donaldson–Thomas theory, and hypertoric geometry. In the first half of this paper, we construct a perfect pairing between the internal zonotopal algebra of a ...
Colin Crowley, Nicholas Proudfoot
wiley +1 more source
Pairing-based algorithms for Jacobians of genus 2 curves with maximal endomorphism ring [PDF]
International audienceUsing Galois cohomology, Schmoyer characterizes cryptographic non-trivial self-pairings of the $\ell$-Tate pairing in terms of the action of the Frobenius on the $\ell$-torsion of the Jacobian of a genus 2 curve.
Sorina Ionica, Ionica, Sorina
core +2 more sources

