We show that every uniformly asymptotically affine circle endomorphism has a uniformly asymptotically conformal extension.

a group is called morphic if for each normal endomorphism α in end(g),there exists β such that ker(α)= gβ and gα= ker(β). in this paper, we consider the case that there exist normal endomorphisms β and γ such that ker(α)= gβ and gα = ker(γ). we call g quasi-morphic, if this happens for any normal endomorphism α in end(g). we get the following results: g is quasi-morphic if and only if, for any ...

Abstract Let XY L , T consist of all countable -structures M that satisfy the axioms and in which homomorphisms type X (these could be plain homomorphisms, monomorphisms, or isomorphisms) between finite substructures are restrictions an endomorphism Y (for example, automorphism a surjective endomorphism). Lockett Truss introduced 18 such classes for relational structures. For given pair however...

We prove in this paper that every endomorphism of the mapping class group of certain orientable surfaces onto a subgroup of finite index is in fact an automorphism.

We study some conjectures on the endomorphism algebras of the cohomology of Deligne-Lusztig varieties which are a refinement of those of [BMi].

We give a sharp divisibility bound, in terms of g, for the degree of the field extension required to realize the endomorphisms of an abelian variety of dimension g over an arbitrary number field; this refines a result of Silverberg. This follows from a stronger result giving the same bound for the order of the component group of the Sato–Tate group of the abelian variety, which had been proved ...

The paper presents a criterion for a C *-algebra to be a coefficient algebra associated with a given endomorphism.

We prove the injectivity of Frobenius endomorphism on $\mathsf {B}_{\operatorname {cris}}$, {B}_{\max }$ and {st}}$.

For any 1-1 measure preserving map T of a probability space we can form the [T, Id] and [T, T−1] automorphisms as well as the corresponding endomorphisms and decreasing sequence of σ-algebras. In this paper we show that if T has zero entropy and the [T, Id] automorphism is isomorphic to a Bernoulli shift then the decreasing sequence of σ-algebras generated by the [T, Id] endomorphism is standar...

Using Galois cohomology, Schmoyer characterizes cryptographic non-trivial self-pairings of the `-Tate pairing in terms of the action of the Frobenius on the `-torsion of the Jacobian of a genus 2 curve. We apply similar techniques to study the non-degeneracy of the `-Tate pairing restrained to subgroups of the `-torsion which are maximal isotropic with respect to the Weil pairing. First, we ded...